Solve 1/4-1/2/2

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

Evaluate

$$-\frac{1}{8}=-0.125$$

Solution Steps

Least common multiple of 4 and 2 is 4. Convert \frac{1}{4} and \frac{1}{2} to fractions with denominator 4.

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

Since \frac{1}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from 1 to get -1.

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

Express \frac{-\frac{1}{4}}{2} as a single fraction.

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

Multiply 4 and 2 to get 8.

$$\frac{-1}{8}$$

Fraction \frac{-1}{8} can be rewritten as -\frac{1}{8} by extracting the negative sign.

$$-\frac{1}{8}$$

Factor

$$-\frac{1}{8} = -0.125$$