Solve -53/6+47/6

$$- 5 \frac { 3 } { 6 } + 4 \frac { 7 } { 6 }$$

Evaluate

$$-\frac{1}{3}\approx -0.333333333$$

Solution Steps

Multiply 5 and 6 to get 30.

$$-\frac{30+3}{6}+\frac{4\times 6+7}{6}$$

Add 30 and 3 to get 33.

$$-\frac{33}{6}+\frac{4\times 6+7}{6}$$

Reduce the fraction \frac{33}{6} to lowest terms by extracting and canceling out 3.

$$-\frac{11}{2}+\frac{4\times 6+7}{6}$$

Multiply 4 and 6 to get 24.

$$-\frac{11}{2}+\frac{24+7}{6}$$

Add 24 and 7 to get 31.

$$-\frac{11}{2}+\frac{31}{6}$$

Least common multiple of 2 and 6 is 6. Convert -\frac{11}{2} and \frac{31}{6} to fractions with denominator 6.

$$-\frac{33}{6}+\frac{31}{6}$$

Since -\frac{33}{6} and \frac{31}{6} have the same denominator, add them by adding their numerators.

$$\frac{-33+31}{6}$$

Add -33 and 31 to get -2.

$$\frac{-2}{6}$$

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

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

Factor

$$-\frac{1}{3} = -0.3333333333333333$$