Solve 53/4-7/8=

$$5 \frac { 3 } { 4 } - \frac { 7 } { 8 } =$$

Evaluate

$$\frac{39}{8}=4.875$$

Solution Steps

Multiply 5 and 4 to get 20.

$$\frac{20+3}{4}-\frac{7}{8}$$

Add 20 and 3 to get 23.

$$\frac{23}{4}-\frac{7}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{23}{4} and \frac{7}{8} to fractions with denominator 8.

$$\frac{46}{8}-\frac{7}{8}$$

Since \frac{46}{8} and \frac{7}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{46-7}{8}$$

Subtract 7 from 46 to get 39.

$$\frac{39}{8}$$

Factor

$$\frac{3 \cdot 13}{2 ^ {3}} = 4\frac{7}{8} = 4.875$$