Solve 1/3-1/frac{1{6}}

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

Evaluate

$$-4$$

Solution Steps

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

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

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

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

Subtract 3 from 1 to get -2.

$$\frac{-\frac{2}{3}}{\frac{1}{6}}$$

Divide -\frac{2}{3} by \frac{1}{6} by multiplying -\frac{2}{3} by the reciprocal of \frac{1}{6}.

$$-\frac{2}{3}\times 6$$

Express -\frac{2}{3}\times 6 as a single fraction.

$$\frac{-2\times 6}{3}$$

Multiply -2 and 6 to get -12.

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

Divide -12 by 3 to get -4.

$$-4$$

Factor

$$-4$$