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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

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Example Question #1371 : Common Core Math: Grade 5

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

Possible Answers:

$\small 3$ $\displaystyle \small 3$

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

$\displaystyle 2$

$\small 1$ $\displaystyle \small 1$

$\small 2\frac{2}{4}$ $\displaystyle \small 2\frac{2}{4}$

Correct answer:

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

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 $\small 1.$ $\displaystyle \small 1.$ Then we multiply like normal.

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

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

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

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

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All Common Core: 5th Grade Math Resources

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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 #1371 : Common Core Math: Grade 5

All Common Core: 5th Grade Math Resources

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