Solve 18/1-frac{1{4}}=

$$\frac { 18 } { 1 - \frac { 1 } { 4 } } =$$

Evaluate

$$24$$

Solution Steps

Convert 1 to fraction \frac{4}{4}.

$$\frac{18}{\frac{4}{4}-\frac{1}{4}}$$

Since \frac{4}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18}{\frac{4-1}{4}}$$

Subtract 1 from 4 to get 3.

$$\frac{18}{\frac{3}{4}}$$

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

$$18\times \frac{4}{3}$$

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

$$\frac{18\times 4}{3}$$

Multiply 18 and 4 to get 72.

$$\frac{72}{3}$$

Divide 72 by 3 to get 24.

$$24$$

Factor

$$2^{3}\times 3$$