Solve 7/3*2/5=7*2/3*5=14/15

$$\frac { 7 } { 3 } \cdot \frac { 2 } { 5 } = \frac { 7 \cdot 2 } { 3 \cdot 5 } = \frac { 14 } { 15 }$$

Verify

Solution Steps

Multiply \frac{7}{3} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 2}{3\times 5}=\frac{7\times 2}{3\times 5}\text{ and }\frac{7\times 2}{3\times 5}=\frac{14}{15}$$

Do the multiplications in the fraction \frac{7\times 2}{3\times 5}.

$$\frac{14}{15}=\frac{7\times 2}{3\times 5}\text{ and }\frac{7\times 2}{3\times 5}=\frac{14}{15}$$

Multiply 7 and 2 to get 14.

$$\frac{14}{15}=\frac{14}{3\times 5}\text{ and }\frac{7\times 2}{3\times 5}=\frac{14}{15}$$

Multiply 3 and 5 to get 15.

$$\frac{14}{15}=\frac{14}{15}\text{ and }\frac{7\times 2}{3\times 5}=\frac{14}{15}$$

Compare \frac{14}{15} and \frac{14}{15}.

$$\text{true}\text{ and }\frac{7\times 2}{3\times 5}=\frac{14}{15}$$

Multiply 7 and 2 to get 14.

$$\text{true}\text{ and }\frac{14}{3\times 5}=\frac{14}{15}$$

Multiply 3 and 5 to get 15.

$$\text{true}\text{ and }\frac{14}{15}=\frac{14}{15}$$

Compare \frac{14}{15} and \frac{14}{15}.

$$\text{true}\text{ and }\text{true}$$

The conjunction of \text{true} and \text{true} is \text{true}.

$$\text{true}$$