Solve 2/5/frac{8{15}}

$$\frac { \frac { 2 } { 5 } } { \frac { 8 } { 15 } }$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Divide \frac{2}{5} by \frac{8}{15} by multiplying \frac{2}{5} by the reciprocal of \frac{8}{15}.

$$\frac{2}{5}\times \frac{15}{8}$$

Multiply \frac{2}{5} times \frac{15}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 15}{5\times 8}$$

Do the multiplications in the fraction \frac{2\times 15}{5\times 8}.

$$\frac{30}{40}$$

Reduce the fraction \frac{30}{40} to lowest terms by extracting and canceling out 10.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$