Solve 5/4+7/8-6

$$\frac { 5 } { 4 } + \frac { 7 } { 8 } - 6$$

Evaluate

$$-\frac{31}{8}=-3.875$$

Solution Steps

Least common multiple of 4 and 8 is 8. Convert \frac{5}{4} and \frac{7}{8} to fractions with denominator 8.

$$\frac{10}{8}+\frac{7}{8}-6$$

Since \frac{10}{8} and \frac{7}{8} have the same denominator, add them by adding their numerators.

$$\frac{10+7}{8}-6$$

Add 10 and 7 to get 17.

$$\frac{17}{8}-6$$

Convert 6 to fraction \frac{48}{8}.

$$\frac{17}{8}-\frac{48}{8}$$

Since \frac{17}{8} and \frac{48}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-48}{8}$$

Subtract 48 from 17 to get -31.

$$-\frac{31}{8}$$

Factor

$$-\frac{31}{8} = -3\frac{7}{8} = -3.875$$