Solve 4/9/frac{16{27}}=

$$\frac { \frac { 4 } { 9 } } { \frac { 16 } { 27 } } =$$

Evaluate

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

Solution Steps

Divide \frac{4}{9} by \frac{16}{27} by multiplying \frac{4}{9} by the reciprocal of \frac{16}{27}.

$$\frac{4}{9}\times \frac{27}{16}$$

Multiply \frac{4}{9} times \frac{27}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 27}{9\times 16}$$

Do the multiplications in the fraction \frac{4\times 27}{9\times 16}.

$$\frac{108}{144}$$

Reduce the fraction \frac{108}{144} to lowest terms by extracting and canceling out 36.

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

Factor

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