Solve 2/7=2*6/7*6=12/42

$$\frac { 2 } { 7 } = \frac { 2 \times 6 } { 7 \times 6 } = \frac { 12 } { 42 }$$

Verify

Solution Steps

Cancel out 2\times 3 in both numerator and denominator.

$$\frac{2}{7}=\frac{2}{7}\text{ and }\frac{2\times 6}{7\times 6}=\frac{12}{42}$$

Compare \frac{2}{7} and \frac{2}{7}.

$$\text{true}\text{ and }\frac{2\times 6}{7\times 6}=\frac{12}{42}$$

Cancel out 2\times 3 in both numerator and denominator.

$$\text{true}\text{ and }\frac{2}{7}=\frac{12}{42}$$

Reduce the fraction \frac{12}{42} to lowest terms by extracting and canceling out 6.

$$\text{true}\text{ and }\frac{2}{7}=\frac{2}{7}$$

Compare \frac{2}{7} and \frac{2}{7}.

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

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

$$\text{true}$$