5th Grade Math - Multiply a Fraction or Whole Number by a Fraction: CCSS.Math.Content.5.NF.B.4

$\small \frac{2}{3}\times\frac{5}{7}$

$\small \frac{10}{21}$

$\small \frac{7}{21}$

$\small \frac{3}{11}$

$\small \frac{1}{9}$

$\small \frac{2}{3}$

Explanation

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

$\small \small \frac{2}{3}\times\frac{5}{7}=\frac{10}{21}$

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

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

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

$\small \frac{1}{5}$

$\small \frac{1}{12}$

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

Explanation

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

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.

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

Solve:

$\small \frac{5}{6}\times\frac{1}{4}$

$\small \frac{5}{24}$

$\small \frac{5}{25}$

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

$\small \frac{2}{3}$

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

Explanation

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

$\small \small \frac{5}{6}\times\frac{1}{4}=\frac{5}{24}$

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

$\frac{1}{7}$

$\frac{10}{7}$

Explanation

Solve the following:

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

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

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

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

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

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

Explanation

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

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 Then we multiply like normal.