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

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Question

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

Answer

No explanation available

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Question

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?

Answer

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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Question

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?

Answer

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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Question

Alison collected $\small \frac{1}{5}$ of a bag of leaves. Karen collected $\small 6$ times as many bags as Alison. How many bags did Karen collect?

Answer

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.

$\small \small \frac{6}{1}\times\frac{1}{5}=\frac{6}{5}$

$\small \frac{6}{5}=1\frac{1}{5}$ Because $\small 5$ can go into only $\small 1$ time and $\small \frac{1}{5}$ is left over.

Karen collected $\small 1\frac{1}{5}$ bags of leaves.

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Question

Sara collected $\small \frac{2}{9}$ of a bag of leaves. Joe collected $\small 7$ times as many bags as Sara. How many bags did Joe collect?

Answer

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.

$\small \frac{7}{1}\times\frac{2}{9}=\frac{14}{9}$

$\small \frac{14}{9}=1\frac{5}{9}$ Because $\small 9$ can go into $\small 14$ only $\small 1$ time and $\small \frac{5}{9}$ is left over.

Joe collected $\small 1\frac{5}{9}$ bags of leaves.

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Question

Jess collected $\small \frac{2}{3}$ of a bag of leaves. Sam collected times as many bags as Jess. How many bags did Sam collect?

Answer

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.

$\small \frac{6}{1}\times\frac{2}{3}=\frac{12}{3}$

$\small \frac{12}{3}=4$ Because can go into an even times.

Sam collected bags of leaves.

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Question

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

Answer

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.

$\small \frac{3}{1}\times\frac{5}{7}=\frac{15}{7}$

$\small \frac{15}{7}=2\frac{1}{7}$ Because can go into only $\small 2$ times and $\small \frac{1}{7}$ is left over.

Drew collected $\small 2\frac{1}{7}$ bags of leaves.

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Question

Jenny collected $\small \frac{9}{11}$ of a bag of leaves. Brian collected times as many bags as Jenny. How many bags did Brian collect?

Answer

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.

$\small \frac{4}{1}\times\frac{9}{11}=\frac{36}{11}$

$\small \frac{36}{11}=3\frac{3}{11}$ Because $\small 11$ can go into $\small 36$ only $\small 3$ times and $\small \frac{3}{11}$ is left over.

Brian collected $\small 3\frac{3}{11}$ bags of leaves.

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Question

Liz collected $\small \frac{3}{4}$ of a bag of leaves. Tammy collected $\small 12$ times as many bags as Liz. How many bags did Tammy collect?

Answer

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.

$\small \frac{12}{1}\times\frac{3}{4}=\frac{36}{4}$

$\small \frac{36}{4}=9$ Because $\small 4$ can go into $\small 36$ an even $\small 9$ times.

Tammy collected $\small 9$ bags of leaves.

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Question

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?

Answer

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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Question

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?

Answer

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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Question

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?

Answer

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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Question

Dan collected $\small \frac{1}{4}$ of a bag of leaves. Sean collected $\small 6$ times as many bags as Dan. How many bags did Sean collect?

Answer

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.

$\small \frac{6}{1}\times\frac{1}{4}=\frac{6}{4}$

$\small \frac{6}{4}=1\frac{2}{4}$ Because can go into $\small 6$ only $\small 1$ time and $\small \frac{2}{4}$ is left over.

Sean collected $\small 1\frac{2}{4}$ bags of leaves.

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

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Question

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

Answer

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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Question

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

Answer

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.

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

Reduce to find your final answer.

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

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Question

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

Answer

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.

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

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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Question

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

Answer

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.

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

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Question

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

Answer

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.

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

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Question

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

Answer

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.

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

Reduce to find your final answer.

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

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Question

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

Answer

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.

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

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