Solve 2.8*1/7-3/5div3/2

$$2.8 \times \frac { 1 } { 7 } - \frac { 3 } { 5 } \div \frac { 3 } { 2 }$$

Evaluate

$$0$$

Solution Steps

Convert decimal number 2.8 to fraction \frac{28}{10}. Reduce the fraction \frac{28}{10} to lowest terms by extracting and canceling out 2.

$$\frac{14}{5}\times \frac{1}{7}-\frac{\frac{3}{5}}{\frac{3}{2}}$$

Multiply \frac{14}{5} times \frac{1}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 1}{5\times 7}-\frac{\frac{3}{5}}{\frac{3}{2}}$$

Do the multiplications in the fraction \frac{14\times 1}{5\times 7}.

$$\frac{14}{35}-\frac{\frac{3}{5}}{\frac{3}{2}}$$

Reduce the fraction \frac{14}{35} to lowest terms by extracting and canceling out 7.

$$\frac{2}{5}-\frac{\frac{3}{5}}{\frac{3}{2}}$$

Divide \frac{3}{5} by \frac{3}{2} by multiplying \frac{3}{5} by the reciprocal of \frac{3}{2}.

$$\frac{2}{5}-\frac{3}{5}\times \frac{2}{3}$$

Multiply \frac{3}{5} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{5}-\frac{3\times 2}{5\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{2}{5}-\frac{2}{5}$$

Subtract \frac{2}{5} from \frac{2}{5} to get 0.

$$0$$

Factor

$$0$$