Solve 2/5*5/6=2*5/5*6=

$$\frac { 2 } { 5 } \times \frac { 5 } { 6 } = \frac { 2 \times 5 } { 5 \times 6 } =$$

Verify

Solution Steps

Multiply \frac{2}{5} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 5}{5\times 6}=\frac{2\times 5}{5\times 6}$$

Cancel out 5 in both numerator and denominator.

$$\frac{2}{6}=\frac{2\times 5}{5\times 6}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}=\frac{2\times 5}{5\times 6}$$

Cancel out 2\times 5 in both numerator and denominator.

$$\frac{1}{3}=\frac{1}{3}$$

Compare \frac{1}{3} and \frac{1}{3}.

$$\text{true}$$