Solve 1/5=1*2/5*2=2/10

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

Verify

Solution Steps

Cancel out 2 in both numerator and denominator.

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

Compare \frac{1}{5} and \frac{1}{5}.

$$\text{true}\text{ and }\frac{1\times 2}{5\times 2}=\frac{2}{10}$$

Cancel out 2 in both numerator and denominator.

$$\text{true}\text{ and }\frac{1}{5}=\frac{2}{10}$$

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

$$\text{true}\text{ and }\frac{1}{5}=\frac{1}{5}$$

Compare \frac{1}{5} and \frac{1}{5}.

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

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

$$\text{true}$$