Solve -42/3-18/15

$$- 4 \frac { 2 } { 3 } - 1 \frac { 8 } { 15 }$$

Evaluate

$$-\frac{31}{5}=-6.2$$

Solution Steps

Multiply 4 and 3 to get 12.

$$-\frac{12+2}{3}-\frac{1\times 15+8}{15}$$

Add 12 and 2 to get 14.

$$-\frac{14}{3}-\frac{1\times 15+8}{15}$$

Multiply 1 and 15 to get 15.

$$-\frac{14}{3}-\frac{15+8}{15}$$

Add 15 and 8 to get 23.

$$-\frac{14}{3}-\frac{23}{15}$$

Least common multiple of 3 and 15 is 15. Convert -\frac{14}{3} and \frac{23}{15} to fractions with denominator 15.

$$-\frac{70}{15}-\frac{23}{15}$$

Since -\frac{70}{15} and \frac{23}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-70-23}{15}$$

Subtract 23 from -70 to get -93.

$$\frac{-93}{15}$$

Reduce the fraction \frac{-93}{15} to lowest terms by extracting and canceling out 3.

$$-\frac{31}{5}$$

Factor

$$-\frac{31}{5} = -6\frac{1}{5} = -6.2$$