Solve 4/5*3/8div6/9

$$\frac { 4 } { 5 } * \frac { 3 } { 8 } \div \frac { 6 } { 9 }$$

Evaluate

$$\frac{9}{20}=0.45$$

Solution Steps

Multiply \frac{4}{5} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{4\times 3}{5\times 8}}{\frac{6}{9}}$$

Do the multiplications in the fraction \frac{4\times 3}{5\times 8}.

$$\frac{\frac{12}{40}}{\frac{6}{9}}$$

Reduce the fraction \frac{12}{40} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{3}{10}}{\frac{6}{9}}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{3}{10}}{\frac{2}{3}}$$

Divide \frac{3}{10} by \frac{2}{3} by multiplying \frac{3}{10} by the reciprocal of \frac{2}{3}.

$$\frac{3}{10}\times \frac{3}{2}$$

Multiply \frac{3}{10} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 3}{10\times 2}$$

Do the multiplications in the fraction \frac{3\times 3}{10\times 2}.

$$\frac{9}{20}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 5} = 0.45$$