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Common Core: 5th Grade Math : Solve Real World Problems Involving Multiplication of Fractions and Mixed Numbers: CCSS.Math.Content.5.NF.B.6

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

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All Common Core: 5th Grade Math Resources

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Example Questions

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Example Question #51 : How To Multiply Fractions

Todd collected $\small \frac{2}{8}$ of a bag of leaves. Tim collected times as many bags as Todd. How many bags did Tim collect?

Possible Answers:

$\small \frac{3}{8}$

$\small \frac{2}{3}$

$\small 2$

$\small 1$

$\small \frac{6}{8}$

Correct answer:

$\small 1$

Explanation:

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over Then we multiply like normal.

$\small \frac{4}{1}\times\frac{2}{8}=\frac{8}{8}$

$\small \frac{8}{8}=1$ Because $\small 8$ can go into $\small 8$ an even $\small 1$ time.

Tim collected $\small 1$ bag of leaves.

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Example Question #52 : How To Multiply Fractions

Missy collected $\small \frac{1}{5}$ of a bag of leaves. Jen collected $\small 5$ times as many bags as Missy. How many bags did Jen collect?

Possible Answers:

$\small \frac{5}{7}$

$\small 2$

$\small \frac{9}{11}$

$\small \frac{1}{10}$

Correct answer:

Explanation:

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{5}{1}\times\frac{1}{5}=\frac{5}{5}$

$\small \frac{5}{5}=1$ Because $\small 5$ can go into $\small 5$ an even $\small 1$ time.

Jen collected 1 bag of leaves.

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Example Question #241 : How To Multiply Fractions

A recipe calls for $\frac{1}{4}$ of a cup of flour. If you double the recipe, how much flour do you need?

Possible Answers:

$2\frac{1}{4}\ cups$

$\frac{1}{2}\ cup$

$1\frac{2}{4}\ cups$

$\frac{1}{4}\ cup$

$\frac{3}{4}\ cup$

Correct answer:

$\frac{1}{2}\ cup$

Explanation:

When you multiply a fraction by a whole number, you first want to make the whole number into a fraction. You do that by putting the whole number over $\small 1.$ Then multiply the numerator by the numerator and denominator by the denominator.

$\frac{1}{4}\times\frac{2}{1}=\frac{2}{4}$

Reduce to find your final answer.

$\frac{2}{4}\div\frac{2}{2}=\frac{1}{2}$

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Example Question #1321 : Common Core Math: Grade 5

A recipe calls for $\frac{1}{2}$ of a cup of flour. If you double the recipe, how much flour do you need?

Possible Answers:

$2\ cups$

$1\ cup$

$2\ cups$

$\frac{1}{4}\ cup$

$\frac{2}{4}\ cup$

Correct answer:

$1\ cup$

Explanation:

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

Reduce to find your final answer.

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

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Example Question #241 : How To Multiply Fractions

A recipe calls for $\frac{3}{4}$ of a cup of flour. If you double the recipe, how much flour do you need?

Possible Answers:

$1\ cup$

$1\frac{1}{4}\ cups$

$1\frac{1}{2}\ cups$

$2\ cups$

$2\frac{1}{4}\ cups$

Correct answer:

$1\frac{1}{2}\ cups$

Explanation:

$\frac{3}{4}\times\frac{2}{1}=\frac{6}{4}$

Reduce to find your final answer.

$\frac{6}{4}=1\frac{2}{4}$

$\frac{2}{4}\div\frac{2}{2}=\frac{1}{2}$

$1\frac{1}{2}$

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Example Question #244 : How To Multiply Fractions

A recipe calls for $\frac{2}{5}$ of a cup of flour. If you double the recipe, how much flour do you need?

Possible Answers:

$\frac{1}{5}\ cup$

$\frac{3}{5}\ cup$

$2\frac{2}{5}\ cups$

$\frac{4}{5}\ cup$

$1\frac{2}{5}\ cups$

Correct answer:

$\frac{4}{5}\ cup$

Explanation:

$\frac{2}{5}\times\frac{2}{1}=\frac{4}{5}$

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Example Question #245 : How To Multiply Fractions

A recipe calls for $\frac{1}{3}$ of a cup of flour. If you double the recipe, how much flour do you need?

Possible Answers:

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

$2\frac{2}{3}\ cups$

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

$1\frac{1}{3}\ cups$

$\frac{2}{3}\ cup$

Correct answer:

$\frac{2}{3}\ cup$

Explanation:

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

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Example Question #246 : How To Multiply Fractions

A recipe calls for $\frac{2}{3}$ of a cup of flour. If you double the recipe, how much flour do you need?

Possible Answers:

$1\frac{1}{3}\ cups$

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

$\frac{1}{3}\ cup$

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

$2\frac{2}{3}\ cups$

Correct answer:

$1\frac{1}{3}\ cups$

Explanation:

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

Reduce to find your final answer.

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

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Example Question #1241 : Numbers And Operations

A recipe calls for $\frac{1}{4}$ of a cup of flour. If you triple the recipe, how much flour do you need?

Possible Answers:

$\frac{3}{4}\ cup$

$\frac{1}{2}\ cup$

$1\frac{1}{4}\ cups$

$3\frac{1}{4}\ cups$

$2\frac{1}{4}\ cups$

Correct answer:

$\frac{3}{4}\ cup$

Explanation:

$\frac{1}{4}\times\frac{3}{1}=\frac{3}{4}$

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Example Question #248 : How To Multiply Fractions

A recipe calls for $\frac{1}{2}$ of a cup of flour. If you triple the recipe, how much flour do you need?

Possible Answers:

$2\frac{1}{2}\ cups$

$\frac{1}{2}\ cup$

$\frac{3}{4}\ cup$

$1\frac{1}{2}\ cups$

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

Correct answer:

$1\frac{1}{2}\ cups$

Explanation:

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

Reduce to find your final answer.

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

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Common Core: 5th Grade Math : Solve Real World Problems Involving Multiplication of Fractions and Mixed Numbers: CCSS.Math.Content.5.NF.B.6

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

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #51 : How To Multiply Fractions

Example Question #52 : How To Multiply Fractions

Example Question #241 : How To Multiply Fractions

Example Question #1321 : Common Core Math: Grade 5

Example Question #241 : How To Multiply Fractions

Example Question #244 : How To Multiply Fractions

Example Question #245 : How To Multiply Fractions

Example Question #246 : How To Multiply Fractions

Example Question #1241 : Numbers And Operations

Example Question #248 : How To Multiply Fractions

All Common Core: 5th Grade Math Resources

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