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

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

Evaluate

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

Solution Steps

Multiply \frac{3}{4} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{3\times 5}{4\times 6}.

$$\frac{15}{24}\times \frac{2}{5}$$

Reduce the fraction \frac{15}{24} to lowest terms by extracting and canceling out 3.

$$\frac{5}{8}\times \frac{2}{5}$$

Multiply \frac{5}{8} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 2}{8\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{2}{8}$$

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

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

Factor

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