Solve 28*1/7-3/5div3/2

$$28 \times \frac { 1 } { 7 } - \frac { 3 } { 5 } \div \frac { 3 } { 2 }$$

Evaluate

$$\frac{18}{5}=3.6$$

Solution Steps

Multiply 28 and \frac{1}{7} to get \frac{28}{7}.

$$\frac{28}{7}-\frac{\frac{3}{5}}{\frac{3}{2}}$$

Divide 28 by 7 to get 4.

$$4-\frac{\frac{3}{5}}{\frac{3}{2}}$$

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

$$4-\frac{3}{5}\times \frac{2}{3}$$

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

$$4-\frac{3\times 2}{5\times 3}$$

Cancel out 3 in both numerator and denominator.

$$4-\frac{2}{5}$$

Convert 4 to fraction \frac{20}{5}.

$$\frac{20}{5}-\frac{2}{5}$$

Since \frac{20}{5} and \frac{2}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-2}{5}$$

Subtract 2 from 20 to get 18.

$$\frac{18}{5}$$

Factor

$$\frac{2 \cdot 3 ^ {2}}{5} = 3\frac{3}{5} = 3.6$$