Solve -32/6+25/6

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

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Multiply 3 and 6 to get 18.

$$-\frac{18+2}{6}+\frac{2\times 6+5}{6}$$

Add 18 and 2 to get 20.

$$-\frac{20}{6}+\frac{2\times 6+5}{6}$$

Reduce the fraction \frac{20}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{10}{3}+\frac{2\times 6+5}{6}$$

Multiply 2 and 6 to get 12.

$$-\frac{10}{3}+\frac{12+5}{6}$$

Add 12 and 5 to get 17.

$$-\frac{10}{3}+\frac{17}{6}$$

Least common multiple of 3 and 6 is 6. Convert -\frac{10}{3} and \frac{17}{6} to fractions with denominator 6.

$$-\frac{20}{6}+\frac{17}{6}$$

Since -\frac{20}{6} and \frac{17}{6} have the same denominator, add them by adding their numerators.

$$\frac{-20+17}{6}$$

Add -20 and 17 to get -3.

$$\frac{-3}{6}$$

Reduce the fraction \frac{-3}{6} to lowest terms by extracting and canceling out 3.

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

Factor

$$-\frac{1}{2} = -0.5$$