Solve 1/2-1/4+3/8/-1-frac{2{2}}

$$\frac { \frac { 1 } { 2 } - \frac { 1 } { 4 } + \frac { 3 } { 8 } } { - 1 - \frac { 2 } { 2 } }$$

Evaluate

$$-\frac{5}{16}=-0.3125$$

Solution Steps

Divide 2 by 2 to get 1.

$$\frac{\frac{1}{2}-\frac{1}{4}+\frac{3}{8}}{-1-1}$$

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

$$\frac{\frac{2}{4}-\frac{1}{4}+\frac{3}{8}}{-1-1}$$

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

$$\frac{\frac{2-1}{4}+\frac{3}{8}}{-1-1}$$

Subtract 1 from 2 to get 1.

$$\frac{\frac{1}{4}+\frac{3}{8}}{-1-1}$$

Least common multiple of 4 and 8 is 8. Convert \frac{1}{4} and \frac{3}{8} to fractions with denominator 8.

$$\frac{\frac{2}{8}+\frac{3}{8}}{-1-1}$$

Since \frac{2}{8} and \frac{3}{8} have the same denominator, add them by adding their numerators.

$$\frac{\frac{2+3}{8}}{-1-1}$$

Add 2 and 3 to get 5.

$$\frac{\frac{5}{8}}{-1-1}$$

Subtract 1 from -1 to get -2.

$$\frac{\frac{5}{8}}{-2}$$

Express \frac{\frac{5}{8}}{-2} as a single fraction.

$$\frac{5}{8\left(-2\right)}$$

Multiply 8 and -2 to get -16.

$$\frac{5}{-16}$$

Fraction \frac{5}{-16} can be rewritten as -\frac{5}{16} by extracting the negative sign.

$$-\frac{5}{16}$$

Factor

$$-\frac{5}{16} = -0.3125$$