Solve 53/4-(-5/8)

$$5 \frac { 3 } { 4 } - ( - \frac { 5 } { 8 } )$$

Evaluate

$$\frac{51}{8}=6.375$$

Solution Steps

Multiply 5 and 4 to get 20.

$$\frac{20+3}{4}-\left(-\frac{5}{8}\right)$$

Add 20 and 3 to get 23.

$$\frac{23}{4}-\left(-\frac{5}{8}\right)$$

The opposite of -\frac{5}{8} is \frac{5}{8}.

$$\frac{23}{4}+\frac{5}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{23}{4} and \frac{5}{8} to fractions with denominator 8.

$$\frac{46}{8}+\frac{5}{8}$$

Since \frac{46}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

$$\frac{46+5}{8}$$

Add 46 and 5 to get 51.

$$\frac{51}{8}$$

Factor

$$\frac{3 \cdot 17}{2 ^ {3}} = 6\frac{3}{8} = 6.375$$