Solve -5/16-1/8+5

$$- \frac { 5 } { 16 } - \frac { 1 } { 8 } + 5$$

Evaluate

$$\frac{73}{16}=4.5625$$

Solution Steps

Least common multiple of 16 and 8 is 16. Convert -\frac{5}{16} and \frac{1}{8} to fractions with denominator 16.

$$-\frac{5}{16}-\frac{2}{16}+5$$

Since -\frac{5}{16} and \frac{2}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-5-2}{16}+5$$

Subtract 2 from -5 to get -7.

$$-\frac{7}{16}+5$$

Convert 5 to fraction \frac{80}{16}.

$$-\frac{7}{16}+\frac{80}{16}$$

Since -\frac{7}{16} and \frac{80}{16} have the same denominator, add them by adding their numerators.

$$\frac{-7+80}{16}$$

Add -7 and 80 to get 73.

$$\frac{73}{16}$$

Factor

$$\frac{73}{2 ^ {4}} = 4\frac{9}{16} = 4.5625$$