Solve 12/1-frac{1{3}}

$$\frac{ 12 }{ 1- \frac{ 1 }{ 3 } }$$

Evaluate

$$18$$

Solution Steps

Convert 1 to fraction \frac{3}{3}.

$$\frac{12}{\frac{3}{3}-\frac{1}{3}}$$

Since \frac{3}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12}{\frac{3-1}{3}}$$

Subtract 1 from 3 to get 2.

$$\frac{12}{\frac{2}{3}}$$

Divide 12 by \frac{2}{3} by multiplying 12 by the reciprocal of \frac{2}{3}.

$$12\times \frac{3}{2}$$

Express 12\times \frac{3}{2} as a single fraction.

$$\frac{12\times 3}{2}$$

Multiply 12 and 3 to get 36.

$$\frac{36}{2}$$

Divide 36 by 2 to get 18.

$$18$$

Factor

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