4th Grade Math - Multiply a Fraction and a Whole Number by Understanding a Multiple of a/b as a Multiple of 1/b: CCSS.Math.Content.4.NF.B.4b

Select the answer choice that is equal to $2\times\frac{3}{5}$

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

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

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

$7\times\frac{1}{5}$

$8\times\frac{1}{5}$

Explanation

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

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

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

Select the answer choice that is equal to $4\times\frac{2}{5}$

$8\times\frac{1}{5}$

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

$6\times\frac{2}{5}$

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

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

Explanation

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

$\frac{4}{1}\times\frac{2}{5}=\frac{8}{5}$

$\frac{8}{1}\times\frac{1}{5}=\frac{8}{5}$

Select the answer choice that is equal to $5\times\frac{2}{5}$

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

$10\times\frac{2}{5}$

$8\times\frac{1}{5}$

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

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

Explanation

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

$\frac{5}{1}\times\frac{2}{5}=\frac{10}{5}$

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

Select the answer choice that is equal to $7\times\frac{3}{5}$

$21\times\frac{1}{5}$

$18\times\frac{1}{5}$

$12\times\frac{1}{5}$

$12\times\frac{2}{5}$

$18\times\frac{2}{5}$

Explanation

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

$\frac{7}{1}\times\frac{3}{5}=\frac{21}{5}$

$\frac{21}{1}\times\frac{1}{5}=\frac{21}{5}$

Select the answer choice that is equal to $3\times\frac{3}{4}$

$9\times\frac{1}{4}$

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

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

$9\frac{2}{4}$

$6\times\frac{3}{4}$

Explanation

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

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

$\frac{9}{1}\times\frac{1}{4}=\frac{9}{4}$

Select the answer choice that is equal to $2\times\frac{2}{4}$

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

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

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

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

$5\times\frac{3}{4}$

Explanation

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

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

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

Select the answer choice that is equal to $4\times\frac{3}{4}$

$12\times\frac{1}{4}$

$11\times\frac{2}{4}$

$11\times\frac{1}{4}$

$9\times\frac{1}{4}$

$9\times\frac{2}{4}$

Explanation

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

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

$\frac{12}{1}\times\frac{1}{4}=\frac{12}{4}$

Select the answer choice that is equal to $5\times\frac{3}{4}$

$15\times\frac{1}{4}$

$15\times\frac{2}{4}$

$12\times\frac{2}{4}$

$12\times\frac{1}{4}$

$14\times\frac{2}{4}$

Explanation

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

$\frac{5}{1}\times\frac{3}{4}=\frac{15}{4}$

$\frac{15}{1}\times\frac{1}{4}=\frac{15}{4}$

Select the answer choice that is equal to $6\times\frac{2}{4}$

$12\times\frac{1}{4}$

$8\times\frac{1}{4}$

$9\times\frac{1}{4}$

$12\times\frac{2}{4}$

$8\times\frac{2}{4}$

Explanation

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

$\frac{6}{1}\times\frac{2}{4}=\frac{12}{4}$

$\frac{12}{1}\times\frac{1}{4}=\frac{12}{4}$

Select the answer choice that is equal to $7\times\frac{2}{4}$

$14\times\frac{1}{4}$

$16\times\frac{1}{4}$

$15\times\frac{1}{4}$

$14\times\frac{2}{4}$

$15\times\frac{2}{4}$

Explanation

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

$\frac{7}{1}\times\frac{2}{4}=\frac{14}{4}$

$\frac{14}{1}\times\frac{1}{4}=\frac{14}{4}$

Multiply a Fraction and a Whole Number by Understanding a Multiple of a/b as a Multiple of 1/b: CCSS.Math.Content.4.NF.B.4b

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