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SSAT Middle Level Math : How to subtract fractions

Study concepts, example questions & explanations for SSAT Middle Level Math

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Example Questions

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Example Question #13 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.5.Nf.A.2

Jessica ate $\frac{1}{3}$ of the cake and Megan ate $\frac{1}{2}$ . How much more of the cake did Megan eat?

Possible Answers:

$\frac{1}{6}$

$\frac{1}{3}$

$\frac{4}{9}$

$\frac{2}{3}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{6}$

Explanation:

$\frac{1}2{}-\frac{1}{3}$

In order to solve this problem, we first need to make common denominators.

$\frac{1}3{\times\frac{2}{2}=\frac{2}{6}}$

$\frac{1}{2}\times\frac{3}{3}=\frac{3}{6}$

Now that we have common denominators, we can subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

$\frac{3}{6}-\frac{2}{6}=\frac{1}{6}$

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Example Question #151 : Numbers And Operations

Kara ate $\frac{7}{18}$ of the bag of chips and Andrew ate $\frac{1}{9}$ . How much more of the bag of chips did Kara eat?

Possible Answers:

$\frac{4}{9}$

$\frac{1}{6}$

$\frac{2}{3}$

$\frac{5}{18}$

$\frac{9}{13}$

Correct answer:

$\frac{5}{18}$

Explanation:

$\frac{7}{18}-\frac{1}{9}$

In order to solve this problem, we first need to make common denominators.

$\frac{1}{9}\times \frac{2}{2}=\frac{2}{18}$

Now that we have common denominators, we can subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

$\frac{7}{18}-\frac{2}{18}=\frac{5}{18}$

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Example Question #31 : How To Subtract Fractions

Laura ate $\frac{2}{7}$ of the ice cream and Drew ate $\frac{1}{3}$ . How much more of the ice cream did Drew eat?

Possible Answers:

$\frac{9}{11}$

$\frac{1}{21}$

$\frac{1}{7}$

$\frac{2}3{}$

$\frac{5}7{}$

Correct answer:

$\frac{1}{21}$

Explanation:

$\frac{1}{3}-\frac{2}{7}$

In order to solve this problem, we first need to make common denominators.

$\frac{2}{7}\times\frac{3}{3}=\frac{6}{21}$

$\frac{1}{3}\times\frac{7}{7}=\frac{7}{21}$

Now that we have common denominators, we can subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

$\frac{7}{21}-\frac{6}{21}=\frac{1}{21}$

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Example Question #16 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.5.Nf.A.2

Joe paited $\frac{3}{10}$ of the fence an Sara painted $\frac{1}{2}$ . How much more of the fence did Sara paint?

Possible Answers:

$\frac{3}{4}$

$\frac{1}2{}$

$\frac{7}{11}$

$\frac{3}{10}$

$\frac{1}{5}$

Correct answer:

$\frac{1}{5}$

Explanation:

$\frac{1}{2}-\frac{3}{10}$

In order to solve this problem, we first need to make common denominators.

$\frac{1}{2}\times\frac{5}{5}=\frac{5}{10}$

Now that we have common denominators, we can subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

$\frac{5}{10}-\frac{3}{10 }=\frac{2}{10}$

$\frac{2}{10}$ can be reduced be dividing both sides by .

$\frac{2}{10} \div\frac{2}{2}=\frac{1}{5}$

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Example Question #17 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.5.Nf.A.2

Zach cleaned $\frac{1}{8}$ of the house and Alex cleaned $\frac{1}{3}$ of the house. How much more of the house did Alex clean?

Possible Answers:

$\frac{2}{3}$

$\frac{1}{6}$

$\frac{7}{24}$

$\frac{1}{3}$

$\frac{5}{24}$

Correct answer:

$\frac{5}{24}$

Explanation:

$\frac{1}{3}-\frac{1}{8}$

In order to solve this problem, we first need to make common denominators.

$\frac{1}{8}\times\frac{3}{3}=\frac{3}{24}$

$\frac{1}{3}\times\frac{8}{8}=\frac{8}{24}$ $\frac{1}{3}\times\frac{8}{8}=\frac{8}{24}$ $\frac{1}{3}\times\frac{8}{8}=\frac{8}{24}$ $\frac{1}{3}\times\frac{8}{8}=\frac{8}{24}$

$\frac{1}{3}\times\frac{8}{8}=\frac{8}{24}$ $\frac{1}{3}\times\frac{8}{8}=\frac{8}{24}$

Now that we have common denominators, we can subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

$\frac{8}{24}-\frac{3}{24}=\frac{5}{24}$

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Example Question #21 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.5.Nf.A.2

Lily pulled $\frac{1}{9}$ of the weeds and Rose pulled $\frac{1}{3}$ . How much more of the weeds did Rose pull?

Possible Answers:

$\frac{1}{9}$

$\frac{2}9{}$

$\frac{2}{3}$

$\frac{3}{5}$

$\frac{5}{7}$

Correct answer:

$\frac{2}9{}$

Explanation:

$\frac{1}{3}-\frac{1}{9}$

In order to solve this problem, we first need to make common denominators.

$\frac{1}{3}\times\frac{3}{3}=\frac{3}{9}$

Now that we have common denominators, we can subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

$\frac{3}{9}-\frac{1}{9}=\frac{2}{9}$

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Example Question #441 : Fractions

Sally drank $\frac{1}{12}$ of the milk and Sam drank $\frac{2}{3}$ . How much more of the milk did Sam drink?

Possible Answers:

$\frac{7}8{}$

$\frac{7}{12}$

$\frac{2}3{}$

$\frac{1}2{}$

$\frac{5}{12}$

Correct answer:

$\frac{7}{12}$

Explanation:

$\frac{2}{3}-\frac{1}{12}$

In order to solve this problem, we first need to make common denominators.

$\frac{2}{3}\times\frac{4}{4}=\frac{8}{12}$

Now that we have common denominators, we can subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

$\frac{8}{12}-\frac{1}{12}=\frac{7}{12}$

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Example Question #1581 : Ssat Middle Level Quantitative (Math)

Jake ate $\frac{1}{7}$ of the popcorn and Dave ate $\small \frac{4}{14}$ of the popcorn. How much more of the popcorn did Dave eat?

Possible Answers:

$\frac{2}3{}$

$\frac{5}6{}$

$\frac{2}7{}$

$\frac{1}7{}$

$\frac{9}{11}$

Correct answer:

$\frac{1}7{}$

Explanation:

$\frac{4}{14}-\frac{1}{7}$

In order to solve this problem, we first need to make common denominators.

$\frac{1}{7}\times\frac{2}{2}=\frac{2}{14}$

Now that we have common denominators, we can add the fractions. Remember, when we add fractions, the denominator stays the same, we only add the numerator.

$\frac{4}{14}-\frac{2}{14}=\frac{2}{14}$

$\small \frac{2}{14}$ can be reduced by dividing $\small 2$ by both sides.

$\small \frac {2}{14}\div\frac{2}{2}=\frac{1}{7}$

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Example Question #443 : Fractions

Select the fraction model that shows the difference of $\frac{3}{3}-\frac{1}{3}$

Possible Answers:

3 4

2 6

2 8

2 3

2 4

Correct answer:

2 3

Explanation:

$\frac{3}{3}-\frac{1}{3}=\frac{2}{3}$

The fraction model is broken up into three pieces and two of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into.

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Example Question #444 : Fractions

Select the fraction model that shows the difference of $\frac{3}{4}-\frac{1}{4}$

Possible Answers:

2 4

2 3

2 6

3 6

2 8

Correct answer:

2 4

Explanation:

$\frac{3}{4}-\frac{1}{4}=\frac{2}{4}$

The fraction model is broken up into four pieces and two of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into.

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SSAT Middle Level Math : How to subtract fractions

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #13 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.5.Nf.A.2

Example Question #151 : Numbers And Operations

Example Question #31 : How To Subtract Fractions

Example Question #16 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.5.Nf.A.2

Example Question #17 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.5.Nf.A.2

Example Question #21 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.5.Nf.A.2

Example Question #441 : Fractions

Example Question #1581 : Ssat Middle Level Quantitative (Math)

Example Question #443 : Fractions

Example Question #444 : Fractions

All SSAT Middle Level Math Resources

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