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Common Core: 5th Grade Math : Solve Word Problems Involving Addition and Subtraction of Fractions: CCSS.Math.Content.5.NF.A.2

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All Common Core: 5th Grade Math Resources

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Example Questions

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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Example Question #872 : Common Core Math: Grade 5

Sally drank $\frac{1}{12}$ of the milk and Sam drank $\frac{2}{3}$ . What fraction of the milk did they drink?

Possible Answers:

$\frac{3}{15}$

$\frac{5}{7}$

$\frac{3}{4}$

$\frac{1}{2}$

$\frac{11}{15}$

Correct answer:

$\frac{3}{4}$

Explanation:

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

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 add the fractions. Remember, when we add fractions, the denominator stays the same, we only add the numerator.

$\frac{1}{12}+\frac{8}{12}=\frac{9}{12}$

$\frac{9}{12}$ can be reduced by dividing by both sides.

$\frac{9}{12}\div \frac{3}{3}=\frac{3}{4}$

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Example Question #873 : Common Core Math: Grade 5

Lily pulled $\frac{1}{9}$ of the weeds and Rose pulled $\frac{1}{3}$ . What fraction of the weeds have they pulled?

Possible Answers:

$\frac{8}{15}$

$\frac{1}{2}$

$\frac{2}{12}$

$\frac{4}{9}$

$\frac{1}{6}$

Correct answer:

$\frac{4}{9}$

Explanation:

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

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 add the fractions. Remember, when we add fractions, the denominator stays the same, we only add the numerator.

$\frac{1}{9}+\frac{3}{9}=\frac{4}{9}$

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All Common Core: 5th Grade Math Resources

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Common Core: 5th Grade Math : Solve Word Problems Involving Addition and Subtraction of Fractions: CCSS.Math.Content.5.NF.A.2

Study concepts, example questions & explanations for Common Core: 5th Grade Math

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #871 : Common Core Math: Grade 5

Example Question #23 : Number & Operations With Fractions

Example Question #24 : Number & Operations With Fractions

Example Question #872 : Common Core Math: Grade 5

Example Question #873 : Common Core Math: Grade 5

All Common Core: 5th Grade Math Resources

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