Solve -124/9-57/8

$$- 12 \frac { 4 } { 9 } - 5 \frac { 7 } { 8 }$$

Evaluate

$$-\frac{1319}{72}\approx -18.319444444$$

Solution Steps

Multiply 12 and 9 to get 108.

$$-\frac{108+4}{9}-\frac{5\times 8+7}{8}$$

Add 108 and 4 to get 112.

$$-\frac{112}{9}-\frac{5\times 8+7}{8}$$

Multiply 5 and 8 to get 40.

$$-\frac{112}{9}-\frac{40+7}{8}$$

Add 40 and 7 to get 47.

$$-\frac{112}{9}-\frac{47}{8}$$

Least common multiple of 9 and 8 is 72. Convert -\frac{112}{9} and \frac{47}{8} to fractions with denominator 72.

$$-\frac{896}{72}-\frac{423}{72}$$

Since -\frac{896}{72} and \frac{423}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-896-423}{72}$$

Subtract 423 from -896 to get -1319.

$$-\frac{1319}{72}$$

Factor

$$-\frac{1319}{72} = -18\frac{23}{72} = -18.319444444444443$$