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Common Core: 4th Grade Math : Multiply a Fraction by a Whole Number: CCSS.Math.Content.4.NF.B.4

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Example Questions

Example Question #1 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

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

Possible Answers:

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

$\frac{3}{6}$ $\displaystyle \frac{3}{6}$

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

$\displaystyle 3$

$\displaystyle 1$

Correct answer:

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

Explanation:

When we multiply a fraction by a whole number we need to make the whole number into a fraction by putting our whole number over $\displaystyle 1$ .

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

$\frac{3}{2}=1\frac{1}{2}$ $\displaystyle \frac{3}{2}=1\frac{1}{2}$ because $\displaystyle 2$ can go into $\displaystyle 3$ one time, and $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ is left over.

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Example Question #72 : How To Multiply Fractions

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

Possible Answers:

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

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

$\displaystyle 3$

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

$\displaystyle 2$

Correct answer:

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

Explanation:

When we multiply a fraction by a whole number we need to make the whole number into a fraction by putting our whole number over $\displaystyle 1$ .

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

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Example Question #2 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

$9\times\frac{2}{3}=$ $\displaystyle 9\times\frac{2}{3}=$

Possible Answers:

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

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

$\displaystyle 12$

$\displaystyle 6$

$9\frac{2}{3}$ $\displaystyle 9\frac{2}{3}$

Correct answer:

$\displaystyle 6$

Explanation:

When we multiply a fraction by a whole number we need to make the whole number into a fraction by putting our whole number over $\displaystyle 1$ .

$\frac{9}{1}\times\frac{2}{3}=\frac{18}{3}$ $\displaystyle \frac{9}{1}\times\frac{2}{3}=\frac{18}{3}$

$\frac{18}{3}=6$ $\displaystyle \frac{18}{3}=6$ because $\displaystyle 3$ can go into $\displaystyle 18$ six times.

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Example Question #41 : Build Fractions From Unit Fractions

$10\times\frac{1}{5}=$ $\displaystyle 10\times\frac{1}{5}=$

Possible Answers:

$\displaystyle 5$

$\frac{1}{10}$ $\displaystyle \frac{1}{10}$

$\frac{1}{50}$ $\displaystyle \frac{1}{50}$

$\frac{3}{15}$ $\displaystyle \frac{3}{15}$

$\displaystyle 2$

Correct answer:

$\displaystyle 2$

Explanation:

When we multiply a fraction by a whole number we need to make the whole number into a fraction by putting our whole number over $\displaystyle 1$ .

$\frac{10}{1}\times\frac{1}{5}=\frac{10}{5}$ $\displaystyle \frac{10}{1}\times\frac{1}{5}=\frac{10}{5}$

$\frac{10}{5}=2$ $\displaystyle \frac{10}{5}=2$ because $\displaystyle 5$ can go into $\displaystyle 10$ two times.

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Example Question #42 : Build Fractions From Unit Fractions

$11\times\frac{1}{3}=$ $\displaystyle 11\times\frac{1}{3}=$

Possible Answers:

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

$\displaystyle 6$

$\displaystyle 7$

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

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

Correct answer:

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

Explanation:

When we multiply a fraction by a whole number we need to make the whole number into a fraction by putting our whole number over $\displaystyle 1$ .

$\frac{11}{1}\times\frac{1}{3}=\frac{11}{3}$ $\displaystyle \frac{11}{1}\times\frac{1}{3}=\frac{11}{3}$

$\frac{11}{3}=3\frac{2}{3}$ $\displaystyle \frac{11}{3}=3\frac{2}{3}$ because $\displaystyle 3$ can go into $\displaystyle 11$ three times, and $\frac{2}{3}$ $\displaystyle \frac{2}{3}$ is left over.

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Example Question #74 : How To Multiply Fractions

$12\times\frac{3}{4}=$ $\displaystyle 12\times\frac{3}{4}=$

Possible Answers:

$\displaystyle 4$

$\displaystyle 9$

$12\frac{3}{4}$ $\displaystyle 12\frac{3}{4}$

$\frac{9}{12}$ $\displaystyle \frac{9}{12}$

$\frac{2}{17}$ $\displaystyle \frac{2}{17}$

Correct answer:

$\displaystyle 9$

Explanation:

When we multiply a fraction by a whole number we need to make the whole number into a fraction by putting our whole number over $\displaystyle 1$ .

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

$\frac{36}{4}=9$ $\displaystyle \frac{36}{4}=9$ because $\displaystyle 4$ can go into $\displaystyle 36$ nine times.

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Example Question #75 : How To Multiply Fractions

$8\times\frac{1}{3}=$ $\displaystyle 8\times\frac{1}{3}=$

Possible Answers:

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

$\displaystyle 6$

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

$\displaystyle 3$

$\frac{8}{24}$ $\displaystyle \frac{8}{24}$

Correct answer:

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

Explanation:

When we multiply a fraction by a whole number we need to make the whole number into a fraction by putting our whole number over $\displaystyle 1$ .

$\frac{8}{1}\times\frac{1}{3}=\frac{8}{3}$ $\displaystyle \frac{8}{1}\times\frac{1}{3}=\frac{8}{3}$

$\frac{8}{3}=2\frac{2}{3}$ $\displaystyle \frac{8}{3}=2\frac{2}{3}$ because $\displaystyle 3$ can go into $\displaystyle 8$ two times, and $\frac{2}{3}$ $\displaystyle \frac{2}{3}$ is left over.

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Example Question #43 : Build Fractions From Unit Fractions

$7\times\frac{3}{8}=$ $\displaystyle 7\times\frac{3}{8}=$

Possible Answers:

$7\frac{3}{8}$ $\displaystyle 7\frac{3}{8}$

$\displaystyle 5$

$\frac{21}{56}$ $\displaystyle \frac{21}{56}$

$\displaystyle 4$

$2\frac{5}{8}$ $\displaystyle 2\frac{5}{8}$

Correct answer:

$2\frac{5}{8}$ $\displaystyle 2\frac{5}{8}$

Explanation:

When we multiply a fraction by a whole number we need to make the whole number into a fraction by putting our whole number over $\displaystyle 1$ .

$\frac{7}{1}\times\frac{3}{8}=\frac{21}{8}$ $\displaystyle \frac{7}{1}\times\frac{3}{8}=\frac{21}{8}$

$\frac{21}{8}=2\frac{5}{8}$ $\displaystyle \frac{21}{8}=2\frac{5}{8}$ because $\displaystyle 8$ can go into $\displaystyle 21$ two times, and $\frac{5}{8}$ $\displaystyle \frac{5}{8}$ is left over.

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Example Question #44 : Build Fractions From Unit Fractions

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

Possible Answers:

$\frac{2}{18}$ $\displaystyle \frac{2}{18}$

$\displaystyle 3$

$6\frac{2}{3}$ $\displaystyle 6\frac{2}{3}$

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

$\displaystyle 4$

Correct answer:

$\displaystyle 4$

Explanation:

When we multiply a fraction by a whole number we need to make the whole number into a fraction by putting our whole number over $\displaystyle 1$ .

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

$\frac{12}{3}=4$ $\displaystyle \frac{12}{3}=4$ because $\displaystyle 3$ can go into $\displaystyle 12$ four times.

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Example Question #45 : Build Fractions From Unit Fractions

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

Possible Answers:

$\frac{1}{10}$ $\displaystyle \frac{1}{10}$

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

$\displaystyle 5$

$\frac{1}{25}$ $\displaystyle \frac{1}{25}$

$\displaystyle 1$

Correct answer:

$\displaystyle 1$

Explanation:

When we multiply a fraction by a whole number we need to make the whole number into a fraction by putting our whole number over $\displaystyle 1$ .

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

$\frac{5}{5}=1$ $\displaystyle \frac{5}{5}=1$ because $\displaystyle 5$ can go into $\displaystyle 5$ one time.

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Common Core: 4th Grade Math : Multiply a Fraction by a Whole Number: CCSS.Math.Content.4.NF.B.4

Study concepts, example questions & explanations for Common Core: 4th Grade Math

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #1 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

Example Question #72 : How To Multiply Fractions

Example Question #2 : Multiply A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4

Example Question #41 : Build Fractions From Unit Fractions

Example Question #42 : Build Fractions From Unit Fractions

Example Question #74 : How To Multiply Fractions

Example Question #75 : How To Multiply Fractions

Example Question #43 : Build Fractions From Unit Fractions

Example Question #44 : Build Fractions From Unit Fractions

Example Question #45 : Build Fractions From Unit Fractions

All Common Core: 4th Grade Math Resources

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