Solve -13/8-51/2div44/5

$$- 1 \frac { 3 } { 8 } - 5 \frac { 1 } { 2 } \div \frac { 44 } { 5 }$$

Evaluate

$$-2$$

Solution Steps

Multiply 1 and 8 to get 8.

$$-\frac{8+3}{8}-\frac{\frac{5\times 2+1}{2}}{\frac{44}{5}}$$

Add 8 and 3 to get 11.

$$-\frac{11}{8}-\frac{\frac{5\times 2+1}{2}}{\frac{44}{5}}$$

Divide \frac{5\times 2+1}{2} by \frac{44}{5} by multiplying \frac{5\times 2+1}{2} by the reciprocal of \frac{44}{5}.

$$-\frac{11}{8}-\frac{\left(5\times 2+1\right)\times 5}{2\times 44}$$

Multiply 5 and 2 to get 10.

$$-\frac{11}{8}-\frac{\left(10+1\right)\times 5}{2\times 44}$$

Add 10 and 1 to get 11.

$$-\frac{11}{8}-\frac{11\times 5}{2\times 44}$$

Multiply 11 and 5 to get 55.

$$-\frac{11}{8}-\frac{55}{2\times 44}$$

Multiply 2 and 44 to get 88.

$$-\frac{11}{8}-\frac{55}{88}$$

Reduce the fraction \frac{55}{88} to lowest terms by extracting and canceling out 11.

$$-\frac{11}{8}-\frac{5}{8}$$

Since -\frac{11}{8} and \frac{5}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-11-5}{8}$$

Subtract 5 from -11 to get -16.

$$\frac{-16}{8}$$

Divide -16 by 8 to get -2.

$$-2$$

Factor

$$-2$$