Solve 32/5*4/5div8/15

$$3 \frac { 2 } { 5 } \times \frac { 4 } { 5 } \div \frac { 8 } { 15 }$$

Evaluate

$$\frac{51}{10}=5.1$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{\frac{15+2}{5}\times \frac{4}{5}}{\frac{8}{15}}$$

Add 15 and 2 to get 17.

$$\frac{\frac{17}{5}\times \frac{4}{5}}{\frac{8}{15}}$$

Multiply \frac{17}{5} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{17\times 4}{5\times 5}}{\frac{8}{15}}$$

Do the multiplications in the fraction \frac{17\times 4}{5\times 5}.

$$\frac{\frac{68}{25}}{\frac{8}{15}}$$

Divide \frac{68}{25} by \frac{8}{15} by multiplying \frac{68}{25} by the reciprocal of \frac{8}{15}.

$$\frac{68}{25}\times \frac{15}{8}$$

Multiply \frac{68}{25} times \frac{15}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{68\times 15}{25\times 8}$$

Do the multiplications in the fraction \frac{68\times 15}{25\times 8}.

$$\frac{1020}{200}$$

Reduce the fraction \frac{1020}{200} to lowest terms by extracting and canceling out 20.

$$\frac{51}{10}$$

Factor

$$\frac{3 \cdot 17}{2 \cdot 5} = 5\frac{1}{10} = 5.1$$