Solve -32/10-21/3

$$- 3 \frac { 2 } { 10 } - 2 \frac { 1 } { 3 }$$

Evaluate

$$-\frac{83}{15}\approx -5.533333333$$

Solution Steps

Multiply 3 and 10 to get 30.

$$-\frac{30+2}{10}-\frac{2\times 3+1}{3}$$

Add 30 and 2 to get 32.

$$-\frac{32}{10}-\frac{2\times 3+1}{3}$$

Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{16}{5}-\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$-\frac{16}{5}-\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$-\frac{16}{5}-\frac{7}{3}$$

Least common multiple of 5 and 3 is 15. Convert -\frac{16}{5} and \frac{7}{3} to fractions with denominator 15.

$$-\frac{48}{15}-\frac{35}{15}$$

Since -\frac{48}{15} and \frac{35}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-48-35}{15}$$

Subtract 35 from -48 to get -83.

$$-\frac{83}{15}$$

Factor

$$-\frac{83}{15} = -5\frac{8}{15} = -5.533333333333333$$