Solve 2/5*2/2=4/10,quad2/5*frac{3}{3}=frac{6}{15}

$$\frac { 2 } { 5 } \times \frac { 2 } { 2 } = \frac { 4 } { 10 } , \quad \frac { 2 } { 5 } \times \frac { 3 } { 3 } = \frac { 6 } { 15 }$$

Verify

Solution Steps

Divide 2 by 2 to get 1.

$$\frac{2}{5}\times 1=\frac{4}{10}\text{ and }\frac{2}{5}\times \frac{3}{3}=\frac{6}{15}$$

Divide 3 by 3 to get 1.

$$\frac{2}{5}\times 1=\frac{4}{10}\text{ and }\frac{2}{5}\times 1=\frac{6}{15}$$

Multiply \frac{2}{5} and 1 to get \frac{2}{5}.

$$\frac{2}{5}=\frac{4}{10}\text{ and }\frac{2}{5}\times 1=\frac{6}{15}$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}=\frac{2}{5}\text{ and }\frac{2}{5}\times 1=\frac{6}{15}$$

Compare \frac{2}{5} and \frac{2}{5}.

$$\text{true}\text{ and }\frac{2}{5}\times 1=\frac{6}{15}$$

Multiply \frac{2}{5} and 1 to get \frac{2}{5}.

$$\text{true}\text{ and }\frac{2}{5}=\frac{6}{15}$$

Reduce the fraction \frac{6}{15} to lowest terms by extracting and canceling out 3.

$$\text{true}\text{ and }\frac{2}{5}=\frac{2}{5}$$

Compare \frac{2}{5} and \frac{2}{5}.

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

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

$$\text{true}$$