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Common Core: 5th Grade Math : Number & Operations with Fractions

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

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All Common Core: 5th Grade Math Resources

7 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #471 : Number & Operations With Fractions

Heather collected $\small \frac{1}{2}$ of a bag of leaves. Matt collected times as many bags as Heather. How many bags did Matt collect?

Possible Answers:

$\small 1\frac{1}{3}$

$\small 2$

$\small 1\frac{1}{2}$

$\small \frac{1}{6}$

$\small 1$

Correct answer:

$\small 1\frac{1}{2}$

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.

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

$\small \frac{3}{2}=1\frac{1}{2}$ Because can go into $\small 3$ only $\small 1$ time and $\small \frac{1}2{}$ is left over.

Matt collected $\small 1\frac{1}2{}$ bags of leaves.

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Example Question #5 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Dave collected $\small \frac{5}{7}$ of a bag of leaves. Wes collected $\small 4$ times as many bags as Dave. How many bags did Wes collect?

Possible Answers:

$\small 2\frac{6}{7}$

$\small \frac{5}{28}$

$\small 3\frac{6}{7}$

Correct answer:

$\small 2\frac{6}{7}$

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.

$\small \frac{4}{1}\times \frac{5}{7}=\frac{20}{7}$

$\small \frac{20}{7}=2\frac{6}{7}$ Because $\small 7$ can go into only times and $\small \frac{6}{7}$ is left over.

Wes collected $\small 2\frac{6}{7}$ bags of leaves.

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Example Question #4 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Megan collected $\small \frac{1}{3}$ of a bag of leaves. Sally collected times as many bags as Megan. How many bags did Sally collect?

Possible Answers:

$\small 1\frac{1}3{}$

$\small \frac{1}{9}$

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

$\small \frac{1}{2}$

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 Then we multiply like normal.

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

$\small \frac{3}{3}=1$ Because can go into $\small 3$ an even $\small 1$ time.

Sally collected $\small 1$ bag of leaves.

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Example Question #1711 : Ssat Middle Level Quantitative (Math)

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:

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

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

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

$\small 1$

$\small 2$

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 #472 : Number & Operations With 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:

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

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

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

$\small 2$

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 #1901 : Ssat Middle Level Quantitative (Math)

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:

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

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

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

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

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

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 #1232 : Numbers And Operations

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:

$2\ cups$

$1\ cup$

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

$2\ cups$

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

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 #474 : Number & Operations With 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:

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

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

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

$1\ cup$

$2\ cups$

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 #475 : Number & Operations With 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:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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Example Question #476 : Number & Operations With 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:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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All Common Core: 5th Grade Math Resources

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Common Core: 5th Grade Math : Number & Operations with Fractions

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

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #471 : Number & Operations With Fractions

Example Question #5 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Example Question #4 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Example Question #1711 : Ssat Middle Level Quantitative (Math)

Example Question #472 : Number & Operations With Fractions

Example Question #1901 : Ssat Middle Level Quantitative (Math)

Example Question #1232 : Numbers And Operations

Example Question #474 : Number & Operations With Fractions

Example Question #475 : Number & Operations With Fractions

Example Question #476 : Number & Operations With Fractions

All Common Core: 5th Grade Math Resources

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