Solve 4/-7+15+-3-3/22+(-14)

$$\frac { 4 } { - 7 + 15 } + \frac { - 3 - 3 } { 22 + ( - 14 ) }$$

Evaluate

$$-\frac{1}{4}=-0.25$$

Solution Steps

Add -7 and 15 to get 8.

$$\frac{4}{8}+\frac{-3-3}{22-14}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$\frac{1}{2}+\frac{-3-3}{22-14}$$

Subtract 3 from -3 to get -6.

$$\frac{1}{2}+\frac{-6}{22-14}$$

Subtract 14 from 22 to get 8.

$$\frac{1}{2}+\frac{-6}{8}$$

Reduce the fraction \frac{-6}{8} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{3}{4} to fractions with denominator 4.

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

Since \frac{2}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from 2 to get -1.

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

Factor

$$-\frac{1}{4} = -0.25$$