Solve -64/5+21/3

$$- 6 \frac { 4 } { 5 } + 2 \frac { 1 } { 3 }$$

Evaluate

$$-\frac{67}{15}\approx -4.466666667$$

Solution Steps

Multiply 6 and 5 to get 30.

$$-\frac{30+4}{5}+\frac{2\times 3+1}{3}$$

Add 30 and 4 to get 34.

$$-\frac{34}{5}+\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$-\frac{34}{5}+\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$-\frac{34}{5}+\frac{7}{3}$$

Least common multiple of 5 and 3 is 15. Convert -\frac{34}{5} and \frac{7}{3} to fractions with denominator 15.

$$-\frac{102}{15}+\frac{35}{15}$$

Since -\frac{102}{15} and \frac{35}{15} have the same denominator, add them by adding their numerators.

$$\frac{-102+35}{15}$$

Add -102 and 35 to get -67.

$$-\frac{67}{15}$$

Factor

$$-\frac{67}{15} = -4\frac{7}{15} = -4.466666666666667$$