Solve 2(1/4)-(1/3)/(frac{1{2})}

$$\frac { 2 ( \frac { 1 } { 4 } ) - ( \frac { 1 } { 3 } ) } { ( \frac { 1 } { 2 } ) }$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

Multiply 2 and \frac{1}{4} to get \frac{2}{4}.

$$\frac{\frac{2}{4}-\frac{1}{3}}{\frac{1}{2}}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{1}{3} to fractions with denominator 6.

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

Since \frac{3}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from 3 to get 1.

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

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

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

Multiply \frac{1}{6} and 2 to get \frac{2}{6}.

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

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

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

Factor

$$\frac{1}{3} = 0.3333333333333333$$