Answers
Answer:
3.75
Step-by-step explanation:
First we need to get the numbers into decimal form
3/4 can be written into 75
So the mittens weighed 2.75
So we subtract 6.5 and 2.75
Which is 3.75
So the mitten gained 3.75 pounds
Hope this helps!
Answer:
3.75
Step-by-step explanation:
Subtract to find the difference
2 3/4 is 2.75 as a decimal
6.5 - 2.75 = 3.75
Check the answer
2.75 + 3.75 = 6.5
So u can see Mittens gained 3.75 pounds between the time he was a kitten and his 6-month check up.
Related Questions
If Maya has 5 more than twice as many candies as Katie, which of the following expressions shows the number of candies Maya has?
5c + 2, where c is the number of candies Katie has
5c + 2, where c is the number of candies Maya has
2c + 5, where c is the number of candies Maya has
2c + 5, where c is the number of candies Katie has
Answers
Answer:
2c + 5, where c is the number of candies Katie has
Step-by-step explanation:
Let c represent the number of candies that Katie has.
Maya has 5 more than twice as many candies as Katie.
Twice as many candies as Katie can be represented by 2c, and 5 more than this can be represented by 2c + 5.
So, the expression for the number of candies Maya has is 2c + 5.
Answer:
2c + 5, where c is the number of candies Katie has
Step-by-step explanation:
I took the test.
Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components . From the shipment you take a random sample of 25. When sampling with replacement (so that the p = probability of success does not change), note that a success in this case is selecting a defective part. The standard deviation of this situation is?
Answers
Answer:
The standard deviation for the number of defective parts in the sample is 1.88.
Step-by-step explanation:
The sample is with replacement, which means that the trials are independent, and thus, the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
68 defective out of 400:
This means that [tex]p = \frac{68}{400} = 0.17[/tex]
From the shipment you take a random sample of 25.
This means that [tex]n = 25[/tex]
Standard deviation for the number of defective parts in the sample:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{25*0.17*0.83} = 1.88[/tex]
The standard deviation for the number of defective parts in the sample is 1.88.
The standard deviation of the situation is 1.88
The proportion of success is calculated as:
[tex]p = \frac xn[/tex]
So, we have:
[tex]p = \frac {68}{68 + 332}[/tex]
[tex]p = 0.17[/tex]
The standard deviation is then calculated as:
[tex]\sigma= \sqrt{np(1-p)}[/tex]
For a shipment of a random sample of 25, we have:
[tex]\sigma= \sqrt{25 * 0.17 * (1-0.17)}[/tex]
Evaluate the product
[tex]\sigma= \sqrt{3.5275}[/tex]
Evaluate the root
[tex]\sigma= 1.88[/tex]
Hence, the standard deviation of the situation is 1.88
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find the perimeter of the polygon
Answers
Answer:
50
Step-by-step explanation:
19-7=12
6+6+7+19+12
find the product of 8×53×(-125) by using suitable property
Answers
Answer:
-53,000
Step-by-step explanation:
Now to find this answer you use the PEMDAS rule now that stands for:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Now the first thing that you do is look for the parenthesis now there is but there is no equation in that so we go to the next one exponents and there are no exponents. So we go to the multiplication and we multiply everything and that is how you get that answer.
Hope it helped!
180 °
35 °
X °
X = ? °
Answers
Answer:
x=145°
Step-by-step explanation:
180 = 35 + x
x = 180-35
x= 145°
Using the technique in the model above, find the missing segments in this 30°-60°-90° right triangle.
BC = 2
AB=
Answers
I need help answering this ASAP
Answers
Answer:
x=13
Step-by-step explanation:
f(x) = sqrt(x-11)
The square root must be greater than or equal to zero
sqrt(x-11)≥0
Square each side
x-11≥0
x ≥11
The only answer that is greater than or equal to 11 is
x=13
Given the function f(x) = -5x + 2, find the range ofly for x = -1, 0, 1.
O 7, 2, -3
O 7, 2, 3
O-7, -2, 3
0-7, -2, -3
Answers
Answer:
A
Step-by-step explanation:
f(-1)=7, f(0)=2, f(1)=-3
Hey guys please help me please and thank you
Answers
Answer:
B
Step-by-step explanation:
No matter how many times you multiply 1 by itself, it will always be 1 which makes A and D incorrect.
x is a power. The question is 1/4 * 1/4 * 1/4 which is 1/64
Answer: B
Step-by-step explanation:
[tex]f(x)=(\frac{1}{4})^x\\f(3)=(\frac{1}{4})^3\\f(3)=(\frac{1}{4})(\frac{1}{4})(\frac{1}{4})\\f(3)=\frac{1}{64}[/tex]
Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find y.
A. 16
B. 6
C. 18
D. 32
Answers
9514 1404 393
Answer:
B. 6
Step-by-step explanation:
The diagonals of a parallelogram intersect at their midpoints, so ...
DE = BE
4y -8 = y +10
3y = 18 . . . . . . . add 8-y
y = 6 . . . . . . . . divide by 3
__
Additional comment
The value of x is found the same way:
2x = x+2 ⇒ x = 2
what is the value of tan 0 in the unit circle below? (square root3/2,1/2)
Answers
Answer:
√3/3
Step-by-step explanation:
To obtain Tan θ ;
From trigonometry, tan θ = sin θ / cosθ
Given the paired value : (√3/2, 1/2)
The (cosine, sine ) pair ;
Tan θ = sin (1/2) / cos (√3/2)
Tan θ = (1/2 ÷ √3 / 2) = 1 / 2 * 2 / √3 = 2 / 2√3 = 1 / √3
Tan θ = 1 / √3
Rationlaizing the denominator :
1/√3 * √3/ √3 = √3/√9 = √3/3
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 421 gram setting. It is believed that the machine is underfilling the bags. A 43 bag sample had a mean of 414 grams. Assume the population standard deviation is known to be 19.
Required:
a. Is there sufficient evidence at the 0.1 level that the bags are underfilled?
b. Find the P-value of the test statistic.
Answers
Answer:
a) The p-value of the test is 0.0078 < 0.1, which means that there is sufficient evidence at the 0.1 level that the bags are underfilled.
b) 0.0078.
Step-by-step explanation:
Question a:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 421 gram setting.
At the null hypothesis, it is tested if the mean is of 421, that is:
[tex]H_0: \mu = 421[/tex]
It is believed that the machine is underfilling the bags.
At the alternative hypothesis, it is tested if the mean is of less than 421, that is:
[tex]H_a: \mu < 421[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
421 is tested at the null hypothesis:
This means that [tex]\mu = 421[/tex]
A 43 bag sample had a mean of 414 grams. Assume the population standard deviation is known to be 19.
This means that [tex]n = 43, X = 414, \sigma = 19[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{414 - 421}{\frac{19}{\sqrt{43}}}[/tex]
[tex]z = -2.42[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean below 414, which is the p-value of z = -2.42.
Looking at the z-table, z = -2.42 has a p-value of 0.0078.
The p-value of the test is 0.0078 < 0.1, which means that there is sufficient evidence at the 0.1 level that the bags are underfilled.
b. Find the P-value of the test statistic.
As found above, the p-value of the test statistic is 0.0078.
Solve for x. 2^4x-7=16
Answers
Answer:
23/16
Step-by-step explanation:
2*4 x x-7 = 16
16x - 7 = 16
16x = 16 + 7
16x = 23
x = 23/16
Give me a rating XD <3
if a,b,c,d,e are in continued proportion then a/c is equal to what ?
Answers
Answer:
huh
Step-by-step explanation:
that don't make no sense
If a,b,c,d,e are in continued proportion then a/c = a²/b²
What is Ratio?Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.
It is given that
a,b,c,d,e are in continued proportion
We can write it as
a/b = b/c = c/d = d/e = k
d=ek, c=ek², b=ek³ and a=ek⁴
Here a/c
Substitute the values of a and c
⇒ ek⁴/ek²
⇒ k² [ k = a/b ]
⇒ a²/b²
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Solve forx.
(2x - 1) (5x+3) = 0
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{(2x - 1)(5x + 3) = 0}\\\rightarrow\large\textsf{10x}\mathsf{^2}\large\textsf{ + x - 3 = 0}[/tex]
[tex]\huge\text{FACTOR the LEFT SIDE of the equation}[/tex]
[tex]\large\textsf{(5x + 3)(2x - 1) = 0}[/tex]
[tex]\huge\text{SET the FACTORS to equal to 0}[/tex]
[tex]\large\textsf{5x + 3 = 0 or 2x - 1 = 0}[/tex]
[tex]\huge\text{SIMPLIFY \& YOU HAVE YOUR RESULT}\\\\\huge\text{to your question if you solved correctly.}[/tex]
[tex]\boxed{\boxed{\huge\text{Answer: \boxed{\mathsf{x = - \dfrac{3}{5}\ or \ x = \dfrac{1}{2}}}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Given f (t )equals 3 minus 2 t squared. Find and simplify fraction numerator f (2 plus h )minus f (2 )over denominator h end fraction.
Answers
Answer:
ushshdbs the 7th century there where the gall bladder and merchants Bank Ltd bank in the 7th
Three yellow balls, two red balls and five orange balls are placed in a bag. Mark draws a
ball out, and replaces it. He then picks another ball.
Draw a tree diagram to represent this information.
What is the probability that he gets at least one yellow ball?
Give your answer as a fraction in its simplest form
Answers
i think this could be the answer
What fraction must be subtracted from the sum of 1/4 and 1/6 to have an average of 1/12 of all the two fractions
Answers
Answer:
so 1/3 must be subtracted from the sum of 1/4 and 1/6 to have an average of 1/12 of all the two fractions.
Step-by-step explanation:
let the fraction be x
(1/4 + 1/6)-x = 1/12
or, 10/24 - x = 1/12
or, 5/12-1/12 = x
so, x = 4/12 = 1/3
Need help!
given rectangle ABCD find m<CAB
Answers
Answer:
∠ CAB = 60°
Step-by-step explanation:
∠ CAD and ∠ BCA are alternate angles and congruent , so
∠ CAD = 30°
∠ BAD = 90° ( angle in a rectangle ) , then
∠ CAB = 90° - ∠ CAD = 90° - 30° = 60°
The measure of the angle m∠CAB is 60.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
The rectangle has 90 degrees on all the vertices.
So,
In ΔABC,
The sum of the angles = 180
So,
30 + 90 + m∠CAB = 180
m∠CAB = 180 - 120
m∠CAB = 60
Thus,
The measure of the angle m∠CAB is 60.
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Find a12 for the geometric sequence -4, -2, -1, -1/2, ...
Answers
9514 1404 393
Answer:
-1/512
Step-by-step explanation:
The first term is -4, and the common ratio is -2/-4 = 1/2. Then the n-th term is ...
an = -4·(1/2)^(n-1)
and the 12th term is ...
a12 = -4(1/2)^(12 -1) = -4/2048
a12 = -1/512
Which figure always has exactly one line of symmetry?
A. rectangle
B. trapezoid
C. isosceles right triangle
D. circle
Answers
A shape of a trapezoid has exactly one line of symmetry. The correct option is B.
What is a trapezoid?An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.
A balanced and proportionate likeness between an object's two halves is referred to as symmetry in geometry. It implies that one half is the other's mirror image.
A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.
Therefore, the shape of a trapezoid has exactly one line of symmetry. The correct option is B.
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find the missing side of the triangle
Answers
Answer:
x = 34
Step-by-step explanation:
Pytago:
x[tex]30^{2} + 16^{2} = x^2\\x = \sqrt{30^2 + 16^2} \\x = 34[/tex]
What is the slope of a line that is perpendicular to the line whose equation is ax+by=c?
A. c/b
B. b/a
C. −b/a
D. a/b
Answers
Answer:
b/a
Step-by-step explanation:
ax+by=c
To find the slope solve for y
by = -ax+c
Divide by b
y = -a/b x + c/b
The slope intercept form is y = mx+b where m is the slope
The slope is -a/b
A perpendicular line has a slope that is the negative reciprocal
-1/ (-a/b)
-1 * -b/a
b/a
The perimeter of a rectangle is 202 the length is 26 more than 4 times the width find the dimensions
Answers
Answer:
Width = xLength = 26 + 4xPerimeter
[tex]202 = x + x + 26 + 4x + 26 + 4x\\202-26-26=10x\\150=10x\\x=15[/tex]
Therefore, the dimensions are
Width = x = 15Length = 26 + 4x = 26 + 4(15) = 86Q: Solve for x: 8x-2-5x=8
A. OX=13
B. OX=2 1/2
C. OX=3 1/3
D. OX=7
Answers
Answer:
c. 3 1/3
Step-by-step explanation:
8x-2-5x=8
3x=10
x=10/3=3 1/3
Answer:
x=[tex]3\frac{1}{3}[/tex]
Step-by-step explanation:
Hi there!
We want to find the value of x in this expression:
8x-2-5x=8
Our goal is to isolate x on one side
Combine like terms on the left side (add the terms with x together)
3x-2=8
Add 2 to both sides (-2+2=0)
3x-2=8
+2 +2
__________
3x=10
Divide both sides by 3
x=[tex]\frac{10}{3}[/tex]
Simplify the improper fraction
x=[tex]3\frac{1}{3}[/tex]
Hope this helps!
Find the midpoint of the line segment defined by the points: (5, 4) and (−2, 1) (2.5, 1.5) (3.5, 2.5) (1.5, 2.5) (3.5, 1.5)
Answers
Answer:
[tex]\boxed {\boxed {\sf (1.5 , 2.5)}}[/tex]
Step-by-step explanation:
The midpoint is the point that bisects a line segment or divides it into 2 equal halves. The formula is essentially finding the average of the 2 points.
[tex](\frac {x_1+x_2}{2}, \frac {y_1+ y_2}{2})[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the 2 endpoints of the line segment. For this problem, these are (5,4 ) and (-2, 1).
x₁= 5 y₁= 4 x₂= -2 y₂= 1Substitute these values into the formula.
[tex]( \frac {5+ -2}{2}, \frac {4+1}{2})[/tex]
Solve the numerators.
5+ -2 = 5-2 = 3 4+1 = 5[tex]( \frac {3}{2}, \frac{5}{2})[/tex]
Convert the fractions to decimals.
[tex](1.5, 2.5)[/tex]
The midpoint of the line segment is (1.5 , 2.5)
I NEED HELP ASAP!!! convert 0.252525 to a fraction and convert 2.454545 to a fraction
Answers
Simplify: 10101/40000
Hope this helps
Answer:
1. What is 0.252525 as a fraction?
0.252525 as a fraction equals 252525/1000000
2. 2.454545 as a fraction equals 2454545/1000000
Step-by-step explanation:
To write 0.252525 as a fraction you have to write 0.252525 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.252525 = 0.252525/1 = 2.52525/10 = 25.2525/100 = 252.525/1000 = 2525.25/10000 = 25252.5/100000 = 252525/1000000
And finally we have:
0.252525 as a fraction equals 252525/1000000
2. What is 2.454545 as a fraction?
To write 2.454545 as a fraction you have to write 2.454545 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
2.454545 = 2.454545/1 = 24.54545/10 = 245.4545/100 = 2454.545/1000 = 24545.45/10000 = 245454.5/100000 = 2454545/1000000
And finally we have:
2.454545 as a fraction equals 2454545/1000000
Thanks
A large bag contains 29 balls of different colors. The balls are of the same size, weight, surface, such that besides the color they cannot be differentiated. Among the 29 balls, 8 are green, 4 are yellow, 6 are red, 5 are blue, and 6 are black.
(a) What is the probability of getting exactly 1 green, 1 yellow and 2 red when pulling 8 balls? number (rtol=0.01, atol=0,0001)
(b) What is the probability of getting first a green, then another green, and then in any order 2 yellow and 2 red when pulling 6 balls? number (rtol=0.01. atol=0.0001)
(c) What is the probability of getting first and last a green, and then in any order 2 yellow and 2 red when pulling 8 balls? (Note: If there are remaining balls, they need to be either blue or black) number (rtol=0.01, atol=0.0001)
(d) What is the probability of getting 2 blue and 2 non-blue when pulling 4 balls? number (rtol=0.01, atol=0.0001)
(e) Recalculate part (d) using a binomial distribution. number (rtol=0.01, atol=0.0001)
Answers
Answer:
White
6
Red
9
Green
Total number of balls =5+6+9
=20
(i) Probability =
Total cases
favourable cases
P(Green) =
20
9
(ii) P(White or red) =
20
5+6
=
20
11
(iii) P(neither green nor white) = P(Red)
=
20
6
=
10
3
The probability of getting exactly 1 green, 1 yellow, and 2 red when pulling 8 balls is 0.000303.
The probability of getting first a green, then another green, and then in any order 2 yellow and 2 red when pulling 6 balls is 0.00283.
(a) Probability of getting exactly 1 green, 1 yellow, and 2 red when pulling 8 balls:
Total number of balls = 29
Total number of balls to be pulled = 8
Number of ways to choose 1 green out of 8 = C(8, 1) = 8
Number of ways to choose 1 yellow out of the remaining 7 = C(7, 1) = 7
Number of ways to choose 2 red out of the remaining 6 = C(6, 2) = 15
Total favorable outcomes = 8 x 7 x 15 = 840
Total possible outcomes = C(29, 8) = 2,765,905
Probability
= favorable outcomes / possible outcomes
= 840 / 2,765,905
= 0.000303
Therefore, the probability of getting exactly 1 green, 1 yellow, and 2 red when pulling 8 balls is 0.000303.
(b) Total number of balls = 29
Total number of balls to be pulled = 6
Number of ways to choose 1 green out of 8 = C(8, 1) = 8
Number of ways to choose another green out of the remaining 7 = C(7, 1) = 7
Number of ways to choose 2 yellow out of the remaining 5 = C(5, 2) = 10
Number of ways to choose 2 red out of the remaining 3 = C(3, 2) = 3
Total favorable outcomes = 8 x 7 x 10 x 3 = 1,680
Total possible outcomes = C(29, 6) = 593,775
Probability
= favorable outcomes / possible outcomes
= 1,680 / 593,775
= 0.00283
Therefore, the probability of getting first a green, then another green, and then in any order 2 yellow and 2 red when pulling 6 balls is 0.00283.
(c) Probability of getting first and last a green, and then in any order 2 yellow and 2 red when pulling 8 balls:
Total number of balls = 29
Total number of balls to be pulled = 8
Number of ways to choose the first green = C(8, 1) = 8
Number of ways to choose the last green = C(7, 1) = 7
Number of ways to choose 2 yellow out of the remaining 6 = C(6, 2) = 15
Number of ways to choose 2 red out of the remaining 4 = C(4, 2) = 6
Number of ways to choose the remaining 2 balls (either blue or black) = C(5, 2) = 10
Total favorable outcomes = 8 x 7 x 15 x 6x 10 = 50,400
Total possible outcomes = C(29, 8) = 2,765,905
Probability
= 50,400 / 2,765,905 ≈ 0.0182
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The total cost, C, for running an advertisement in a local newspaper, The Free Press, is made up of an initial cost of $12 plus a charge of $5 per day. A rival newspaper, The Banner, is currently running a special on advertisements at $8 per day with no initial cost.
a) Write an equation representing the cost in The Free Press.
b) Write an equation representing the cost in The Banner.
c) For each newspaper, create a table of values.
d) Use Rapid Tables (will need to select 2 lines from the drop down - see example in relation to the Jason's Trip graph below) to graph each cost on the same set of coordinate axis. Your two lines will represent The Free Press and The Banner. You are also able to create the graph on other technology or a piece of paper.
e) Which newspaper would you use for an ad that ran 1 day?
f) Which newspaper would you use for an ad that ran 12 days?
Answers
Answer:
(a) [tex]C(x) = 12 + 5x[/tex]
(b) [tex]C(x) = 8x[/tex]
(c) Tables
(d) See attachment for graph
(e) Banner newspaper
(f) Free press newspaper
Free Press
[tex]\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} & {C(x)} & {17} & {22} & {27} & {32} & {37} \ \end{array}[/tex]
Banner
[tex]\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} & {C(x)} & {8} & {16} & {24} & {32} & {40} \ \end{array}[/tex]
Step-by-step explanation:
Given
Free Press
[tex]Initial = 12[/tex]
[tex]Rate =5[/tex]
Banner
[tex]Initial=0[/tex]
[tex]Rate =8[/tex]
Solving (a): Free Press Equation
This is calculated as:
[tex]C(x) = Initial + Rate * x[/tex]
Where
[tex]x \to[/tex] days
So, we have:
[tex]C(x) = 12 + 5x[/tex]
Solving (b): Banner Equation
This is calculated as:
[tex]C(x) = Initial + Rate * x[/tex]
Where
[tex]x \to[/tex] days
So, we have:
[tex]C(x) = 0 + 8x[/tex]
[tex]C(x) = 8x[/tex]
Solving (c): Table of values
For free press, we have:
[tex]\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} & {C(x)} & {17} & {22} & {27} & {32} & {37} \ \end{array}[/tex]
C(x) is calculated as:
[tex]x = 1;\ C(1) = 12 + 5* 1 =17[/tex]
[tex]x = 2;\ C(2) = 12 + 5* 2 =22[/tex]
..
[tex]x = 5;\ C(5) = 12 + 5* 5 =37[/tex]
For banner, we have:
[tex]\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} & {C(x)} & {8} & {16} & {24} & {32} & {40} \ \end{array}[/tex]
C(x) is calculated as:
[tex]x = 1;\ C(1) = 8* 1 =8[/tex]
[tex]x = 2;\ C(2) = 8* 2 =16[/tex]
..
[tex]x = 5;\ C(5) = 8* 5 =40[/tex]
Solving (d): Graph of both using rapidtable
See attachment
Solving (e) Newspaper to use for 1 day
From the graph, when [tex]x = 1[/tex]
[tex]Free\ press = 17[/tex]
[tex]Banner = 8[/tex]
So, we use Banner newspaper because it is cheaper
Solving (f) Newspaper to use for 12 days
From the graph, when [tex]x = 12[/tex]
[tex]Free\ press = 72[/tex]
[tex]Banner = 96[/tex]
So, we use free press newspaper because it is cheaper
Can you please help me
Answers
Answer: 1/6
Step-by-step explanation:
Given:
4/9 and 11/18
Solve:
STEP ONE: Make the denominators equal by determining the LCM
LCM = Least Common Multiple
First Five multiples of 9 = 9, 18, 27, 36, 45
First FIve multiples of 18 = 18, 36, 54, 72, 90
As we can see from the list above, both 18 and 36 overlap, however, 18 is less than 36. Therefore, 18 is the LCM.
STEP TWO: Compare the size and determine the greater one.
4/9 = (4 × 2) / (9 × 2) = 8/18
11/18 = 11/18
Since 11 > 8, therefore, 11/18 is greater than 8/18
STEP THREE: Find the difference between the two fractions.
11/18 - 4/9
=11/18 - 8/18
=(11 - 8) / 18
= 3 / 18
= 1/6
Hope this helps!! :)
Please let me know if you have any questions
