Solve -7/8+7/2-4

$$\frac{ -7 }{ 8 } + \frac{ 7 }{ 2 } -4$$

Evaluate

$$-\frac{11}{8}=-1.375$$

Solution Steps

Fraction \frac{-7}{8} can be rewritten as -\frac{7}{8} by extracting the negative sign.

$$-\frac{7}{8}+\frac{7}{2}-4$$

Least common multiple of 8 and 2 is 8. Convert -\frac{7}{8} and \frac{7}{2} to fractions with denominator 8.

$$-\frac{7}{8}+\frac{28}{8}-4$$

Since -\frac{7}{8} and \frac{28}{8} have the same denominator, add them by adding their numerators.

$$\frac{-7+28}{8}-4$$

Add -7 and 28 to get 21.

$$\frac{21}{8}-4$$

Convert 4 to fraction \frac{32}{8}.

$$\frac{21}{8}-\frac{32}{8}$$

Since \frac{21}{8} and \frac{32}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-32}{8}$$

Subtract 32 from 21 to get -11.

$$-\frac{11}{8}$$

Factor

$$-\frac{11}{8} = -1\frac{3}{8} = -1.375$$