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SSAT Middle Level Math : How to multiply fractions

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Example Questions

Example Question #301 : How To Multiply Fractions

Select the answer choice that is equal to the following:

$3\times\frac{2}{5}$ $\displaystyle 3\times\frac{2}{5}$

Possible Answers:

$4\times\frac{2}{5}$ $\displaystyle 4\times\frac{2}{5}$

$5\times\frac{2}{5}$ $\displaystyle 5\times\frac{2}{5}$

$3\times\frac{1}{5}$ $\displaystyle 3\times\frac{1}{5}$

$5\times\frac{1}{5}$ $\displaystyle 5\times\frac{1}{5}$

$6\times\frac{1}{5}$ $\displaystyle 6\times\frac{1}{5}$

Correct answer:

$6\times\frac{1}{5}$ $\displaystyle 6\times\frac{1}{5}$

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same.

$\frac{3}{1}\times\frac{2}{5}=\frac{6}{5}$ $\displaystyle \frac{3}{1}\times\frac{2}{5}=\frac{6}{5}$

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

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Example Question #1101 : Common Core Math: Grade 5

Solve the following:

$\small \frac{3}{4}\times3$ $\displaystyle \small \frac{3}{4}\times3$

Possible Answers:

$\small \frac{9}{4}$ $\displaystyle \small \frac{9}{4}$

$\small \frac{3}{4}$ $\displaystyle \small \frac{3}{4}$

$\small \frac{4}{9}$ $\displaystyle \small \frac{4}{9}$

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

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

Correct answer:

$\small \frac{9}{4}$ $\displaystyle \small \frac{9}{4}$

Explanation:

$\small \frac{3}{4}\times3$ $\displaystyle \small \frac{3}{4}\times3$

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

$\small \small \frac{3}{4}\times\frac{3}{1}=\frac{9}{4}$ $\displaystyle \small \small \frac{3}{4}\times\frac{3}{1}=\frac{9}{4}$

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Example Question #302 : How To Multiply Fractions

Solve the following:

$\small \frac{1}{3}\times\frac{1}{9}$ $\displaystyle \small \frac{1}{3}\times\frac{1}{9}$

Possible Answers:

$\small \frac{1}{28}$ $\displaystyle \small \frac{1}{28}$

$\small \frac{1}{27}$ $\displaystyle \small \frac{1}{27}$

$\small \frac{5}{27}$ $\displaystyle \small \frac{5}{27}$

$\small \frac{2}{27}$ $\displaystyle \small \frac{2}{27}$

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

Correct answer:

$\small \frac{1}{27}$ $\displaystyle \small \frac{1}{27}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\small \small \frac{1}{3}\times\frac{1}{9}=\frac{1}{27}$ $\displaystyle \small \small \frac{1}{3}\times\frac{1}{9}=\frac{1}{27}$

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Example Question #9 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Linda is having her friends over for a game night. If each person at the game night will drink $\frac{4}{5}$ $\displaystyle \frac{4}{5}$ of a liter of soda, and there will be $\displaystyle 7$ people at the game night, the number of liters of soda that Linda and her friends will drink is between the numbers:

Possible Answers:

$\displaystyle 7$ and $\displaystyle 8$

$\displaystyle 5$ and $\displaystyle 6$

$\displaystyle 6$ and $\displaystyle 7$

$\displaystyle 4$ and $\displaystyle 5$

$\displaystyle 8$ and $\displaystyle 9$

Correct answer:

$\displaystyle 5$ and $\displaystyle 6$

Explanation:

$\frac{7}{1}\times\frac{4}{5}=\frac{28}{5}$ $\displaystyle \frac{7}{1}\times\frac{4}{5}=\frac{28}{5}$

$\frac{28}{5}=5\frac{3}{5}$ $\displaystyle \frac{28}{5}=5\frac{3}{5}$ because $\displaystyle 5$ can go into $\displaystyle 25$ five times, with $\displaystyle 3$ left over.

$5\frac{3}{5}$ $\displaystyle 5\frac{3}{5}$ is between the whole numbers $\displaystyle 5$ and $\displaystyle 6$.

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SSAT Middle Level Math : How to multiply fractions

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #301 : How To Multiply Fractions

Example Question #1101 : Common Core Math: Grade 5

Example Question #302 : How To Multiply Fractions

Example Question #9 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

All SSAT Middle Level Math Resources

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