Solve -21/3+7/8

$$- 2 \frac { 1 } { 3 } + \frac { 7 } { 8 }$$

Evaluate

$$-\frac{35}{24}\approx -1.458333333$$

Solution Steps

Multiply 2 and 3 to get 6.

$$-\frac{6+1}{3}+\frac{7}{8}$$

Add 6 and 1 to get 7.

$$-\frac{7}{3}+\frac{7}{8}$$

Least common multiple of 3 and 8 is 24. Convert -\frac{7}{3} and \frac{7}{8} to fractions with denominator 24.

$$-\frac{56}{24}+\frac{21}{24}$$

Since -\frac{56}{24} and \frac{21}{24} have the same denominator, add them by adding their numerators.

$$\frac{-56+21}{24}$$

Add -56 and 21 to get -35.

$$-\frac{35}{24}$$

Factor

$$-\frac{35}{24} = -1\frac{11}{24} = -1.4583333333333333$$