Solve 4/5*6div8/9

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

Evaluate

$$\frac{27}{5}=5.4$$

Solution Steps

Express \frac{4}{5}\times 6 as a single fraction.

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

Multiply 4 and 6 to get 24.

$$\frac{\frac{24}{5}}{\frac{8}{9}}$$

Divide \frac{24}{5} by \frac{8}{9} by multiplying \frac{24}{5} by the reciprocal of \frac{8}{9}.

$$\frac{24}{5}\times \frac{9}{8}$$

Multiply \frac{24}{5} times \frac{9}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{24\times 9}{5\times 8}$$

Do the multiplications in the fraction \frac{24\times 9}{5\times 8}.

$$\frac{216}{40}$$

Reduce the fraction \frac{216}{40} to lowest terms by extracting and canceling out 8.

$$\frac{27}{5}$$

Factor

$$\frac{3 ^ {3}}{5} = 5\frac{2}{5} = 5.4$$