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ISEE Middle Level Quantitative : How to subtract fractions

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

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Example Questions

Example Question #21 : Number & Operations With Fractions

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:

$\frac{1}{3}$

$\frac{5}{24}$

$\frac{2}{3}$

$\frac{1}{6}$

$\frac{7}{24}$

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 #871 : Common Core Math: Grade 5

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:

$\frac{5}{7}$

$\frac{2}9{}$

$\frac{2}{3}$

$\frac{3}{5}$

$\frac{1}{9}$

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 #23 : Number & Operations With 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:

$\frac{5}{12}$

$\frac{7}{12}$

$\frac{7}8{}$

$\frac{1}2{}$

$\frac{2}3{}$

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 #24 : Number & Operations With Fractions

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:

$\frac{2}7{}$

$\frac{1}7{}$

$\frac{9}{11}$

$\frac{2}3{}$

$\frac{5}6{}$

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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All ISEE Middle Level Quantitative Resources

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ISEE Middle Level Quantitative : How to subtract fractions

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #21 : Number & Operations With Fractions

Example Question #871 : Common Core Math: Grade 5

Example Question #23 : Number & Operations With Fractions

Example Question #24 : Number & Operations With Fractions

All ISEE Middle Level Quantitative Resources

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