Solve 2/5*3/4*5/6

$$\frac { 2 } { 5 } \times \frac { 3 } { 4 } \times \frac { 5 } { 6 }$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Multiply \frac{2}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 3}{5\times 4}\times \frac{5}{6}$$

Do the multiplications in the fraction \frac{2\times 3}{5\times 4}.

$$\frac{6}{20}\times \frac{5}{6}$$

Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.

$$\frac{3}{10}\times \frac{5}{6}$$

Multiply \frac{3}{10} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 5}{10\times 6}$$

Do the multiplications in the fraction \frac{3\times 5}{10\times 6}.

$$\frac{15}{60}$$

Reduce the fraction \frac{15}{60} to lowest terms by extracting and canceling out 15.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$