Solve 4/9*15/16div5/6=

$$\frac { 4 } { 9 } \times \frac { 15 } { 16 } \div \frac { 5 } { 6 } =$$

Evaluate

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

Solution Steps

Multiply \frac{4}{9} times \frac{15}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{4\times 15}{9\times 16}}{\frac{5}{6}}$$

Do the multiplications in the fraction \frac{4\times 15}{9\times 16}.

$$\frac{\frac{60}{144}}{\frac{5}{6}}$$

Reduce the fraction \frac{60}{144} to lowest terms by extracting and canceling out 12.

$$\frac{\frac{5}{12}}{\frac{5}{6}}$$

Divide \frac{5}{12} by \frac{5}{6} by multiplying \frac{5}{12} by the reciprocal of \frac{5}{6}.

$$\frac{5}{12}\times \frac{6}{5}$$

Multiply \frac{5}{12} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 6}{12\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{6}{12}$$

Reduce the fraction \frac{6}{12} to lowest terms by extracting and canceling out 6.

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

Factor

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