Solve 4/5*15/16div3/2

$$\frac { 4 } { 5 } \times \frac { 15 } { 16 } \div \frac { 3 } { 2 }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Multiply \frac{4}{5} times \frac{15}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{4\times 15}{5\times 16}}{\frac{3}{2}}$$

Do the multiplications in the fraction \frac{4\times 15}{5\times 16}.

$$\frac{\frac{60}{80}}{\frac{3}{2}}$$

Reduce the fraction \frac{60}{80} to lowest terms by extracting and canceling out 20.

$$\frac{\frac{3}{4}}{\frac{3}{2}}$$

Divide \frac{3}{4} by \frac{3}{2} by multiplying \frac{3}{4} by the reciprocal of \frac{3}{2}.

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

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

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

Cancel out 3 in both numerator and denominator.

$$\frac{2}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$