Solve 1/4-1/2:11/2=

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

Evaluate

$$-\frac{1}{12}\approx -0.083333333$$

Solution Steps

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

$$\frac{1}{4}-\frac{2}{2\left(1\times 2+1\right)}$$

Multiply 1 and 2 to get 2.

$$\frac{1}{4}-\frac{2}{2\left(2+1\right)}$$

Add 2 and 1 to get 3.

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

Multiply 2 and 3 to get 6.

$$\frac{1}{4}-\frac{2}{6}$$

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

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

Least common multiple of 4 and 3 is 12. Convert \frac{1}{4} and \frac{1}{3} to fractions with denominator 12.

$$\frac{3}{12}-\frac{4}{12}$$

Since \frac{3}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-4}{12}$$

Subtract 4 from 3 to get -1.

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

Factor

$$-\frac{1}{12} = -0.08333333333333333$$