Solve 17/20div3/8*2/9

$$1 \frac { 7 } { 20 } \div \frac { 3 } { 8 } \times \frac { 2 } { 9 }$$

Evaluate

$$\frac{4}{5}=0.8$$

Solution Steps

Divide \frac{1\times 20+7}{20} by \frac{3}{8} by multiplying \frac{1\times 20+7}{20} by the reciprocal of \frac{3}{8}.

$$\frac{\left(1\times 20+7\right)\times 8}{20\times 3}\times \frac{2}{9}$$

Cancel out 4 in both numerator and denominator.

$$\frac{2\left(7+20\right)}{3\times 5}\times \frac{2}{9}$$

Add 7 and 20 to get 27.

$$\frac{2\times 27}{3\times 5}\times \frac{2}{9}$$

Multiply 2 and 27 to get 54.

$$\frac{54}{3\times 5}\times \frac{2}{9}$$

Multiply 3 and 5 to get 15.

$$\frac{54}{15}\times \frac{2}{9}$$

Reduce the fraction \frac{54}{15} to lowest terms by extracting and canceling out 3.

$$\frac{18}{5}\times \frac{2}{9}$$

Multiply \frac{18}{5} times \frac{2}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{18\times 2}{5\times 9}$$

Do the multiplications in the fraction \frac{18\times 2}{5\times 9}.

$$\frac{36}{45}$$

Reduce the fraction \frac{36}{45} to lowest terms by extracting and canceling out 9.

$$\frac{4}{5}$$

Factor

$$\frac{2 ^ {2}}{5} = 0.8$$