Solve 1/6:(1/2-1/6)

$$\frac { 1 } { 6 } : ( \frac { 1 } { 2 } - \frac { 1 } { 6 } )$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Least common multiple of 2 and 6 is 6. Convert \frac{1}{2} and \frac{1}{6} to fractions with denominator 6.

$$\frac{\frac{1}{6}}{\frac{3}{6}-\frac{1}{6}}$$

Since \frac{3}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{1}{6}}{\frac{3-1}{6}}$$

Subtract 1 from 3 to get 2.

$$\frac{\frac{1}{6}}{\frac{2}{6}}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{6}}{\frac{1}{3}}$$

Divide \frac{1}{6} by \frac{1}{3} by multiplying \frac{1}{6} by the reciprocal of \frac{1}{3}.

$$\frac{1}{6}\times 3$$

Multiply \frac{1}{6} and 3 to get \frac{3}{6}.

$$\frac{3}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$