Solve -81/11+311/16=

$$- 8 \frac { 1 } { 11 } + 3 \frac { 11 } { 16 } =$$

Evaluate

$$-\frac{775}{176}\approx -4.403409091$$

Solution Steps

Multiply 8 and 11 to get 88.

$$-\frac{88+1}{11}+\frac{3\times 16+11}{16}$$

Add 88 and 1 to get 89.

$$-\frac{89}{11}+\frac{3\times 16+11}{16}$$

Multiply 3 and 16 to get 48.

$$-\frac{89}{11}+\frac{48+11}{16}$$

Add 48 and 11 to get 59.

$$-\frac{89}{11}+\frac{59}{16}$$

Least common multiple of 11 and 16 is 176. Convert -\frac{89}{11} and \frac{59}{16} to fractions with denominator 176.

$$-\frac{1424}{176}+\frac{649}{176}$$

Since -\frac{1424}{176} and \frac{649}{176} have the same denominator, add them by adding their numerators.

$$\frac{-1424+649}{176}$$

Add -1424 and 649 to get -775.

$$-\frac{775}{176}$$

Factor

$$-\frac{775}{176} = -4\frac{71}{176} = -4.403409090909091$$