Solve -43/8-(-11/4)

$$- 4 \frac { 3 } { 8 } - ( - 1 \frac { 1 } { 4 } )$$

Evaluate

$$-\frac{25}{8}=-3.125$$

Solution Steps

Multiply 4 and 8 to get 32.

$$-\frac{32+3}{8}-\left(-\frac{1\times 4+1}{4}\right)$$

Add 32 and 3 to get 35.

$$-\frac{35}{8}-\left(-\frac{1\times 4+1}{4}\right)$$

Multiply 1 and 4 to get 4.

$$-\frac{35}{8}-\left(-\frac{4+1}{4}\right)$$

Add 4 and 1 to get 5.

$$-\frac{35}{8}-\left(-\frac{5}{4}\right)$$

The opposite of -\frac{5}{4} is \frac{5}{4}.

$$-\frac{35}{8}+\frac{5}{4}$$

Least common multiple of 8 and 4 is 8. Convert -\frac{35}{8} and \frac{5}{4} to fractions with denominator 8.

$$-\frac{35}{8}+\frac{10}{8}$$

Since -\frac{35}{8} and \frac{10}{8} have the same denominator, add them by adding their numerators.

$$\frac{-35+10}{8}$$

Add -35 and 10 to get -25.

$$-\frac{25}{8}$$

Factor

$$-\frac{25}{8} = -3\frac{1}{8} = -3.125$$