Solve -43/4+-13/8

$$- 4 \frac { 3 } { 4 } + \frac { - 13 } { 8 }$$

Evaluate

$$-\frac{51}{8}=-6.375$$

Solution Steps

Multiply 4 and 4 to get 16.

$$-\frac{16+3}{4}+\frac{-13}{8}$$

Add 16 and 3 to get 19.

$$-\frac{19}{4}+\frac{-13}{8}$$

Fraction \frac{-13}{8} can be rewritten as -\frac{13}{8} by extracting the negative sign.

$$-\frac{19}{4}-\frac{13}{8}$$

Least common multiple of 4 and 8 is 8. Convert -\frac{19}{4} and \frac{13}{8} to fractions with denominator 8.

$$-\frac{38}{8}-\frac{13}{8}$$

Since -\frac{38}{8} and \frac{13}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-38-13}{8}$$

Subtract 13 from -38 to get -51.

$$-\frac{51}{8}$$

Factor

$$-\frac{51}{8} = -6\frac{3}{8} = -6.375$$