Solve 18div3/4-3.5*40%

$$18 \div \frac { 3 } { 4 } - 3.5 \times 40 \%$$

Evaluate

$$22.6$$

Solution Steps

Divide 18 by \frac{3}{4} by multiplying 18 by the reciprocal of \frac{3}{4}.

$$18\times \frac{4}{3}-3.5\times \frac{40}{100}$$

Express 18\times \frac{4}{3} as a single fraction.

$$\frac{18\times 4}{3}-3.5\times \frac{40}{100}$$

Multiply 18 and 4 to get 72.

$$\frac{72}{3}-3.5\times \frac{40}{100}$$

Divide 72 by 3 to get 24.

$$24-3.5\times \frac{40}{100}$$

Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.

$$24-3.5\times \frac{2}{5}$$

Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$24-\frac{7}{2}\times \frac{2}{5}$$

Multiply \frac{7}{2} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$24-\frac{7\times 2}{2\times 5}$$

Cancel out 2 in both numerator and denominator.

$$24-\frac{7}{5}$$

Convert 24 to fraction \frac{120}{5}.

$$\frac{120}{5}-\frac{7}{5}$$

Since \frac{120}{5} and \frac{7}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{120-7}{5}$$

Subtract 7 from 120 to get 113.

$$\frac{113}{5}$$

Factor

$$\frac{113}{5} = 22\frac{3}{5} = 22.6$$