Solve -23/4--41/8

$$- 2 \frac { 3 } { 4 } - - 4 \frac { 1 } { 8 }$$

Evaluate

$$\frac{11}{8}=1.375$$

Solution Steps

Multiply 2 and 4 to get 8.

$$-\frac{8+3}{4}-\left(-\frac{4\times 8+1}{8}\right)$$

Add 8 and 3 to get 11.

$$-\frac{11}{4}-\left(-\frac{4\times 8+1}{8}\right)$$

Multiply 4 and 8 to get 32.

$$-\frac{11}{4}-\left(-\frac{32+1}{8}\right)$$

Add 32 and 1 to get 33.

$$-\frac{11}{4}-\left(-\frac{33}{8}\right)$$

The opposite of -\frac{33}{8} is \frac{33}{8}.

$$-\frac{11}{4}+\frac{33}{8}$$

Least common multiple of 4 and 8 is 8. Convert -\frac{11}{4} and \frac{33}{8} to fractions with denominator 8.

$$-\frac{22}{8}+\frac{33}{8}$$

Since -\frac{22}{8} and \frac{33}{8} have the same denominator, add them by adding their numerators.

$$\frac{-22+33}{8}$$

Add -22 and 33 to get 11.

$$\frac{11}{8}$$

Factor

$$\frac{11}{2 ^ {3}} = 1\frac{3}{8} = 1.375$$