Solve 63/4-7/8

$$6 \frac { 3 } { 4 } - \frac { 7 } { 8 }$$

Evaluate

$$\frac{47}{8}=5.875$$

Solution Steps

Multiply 6 and 4 to get 24.

$$\frac{24+3}{4}-\frac{7}{8}$$

Add 24 and 3 to get 27.

$$\frac{27}{4}-\frac{7}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{27}{4} and \frac{7}{8} to fractions with denominator 8.

$$\frac{54}{8}-\frac{7}{8}$$

Since \frac{54}{8} and \frac{7}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{54-7}{8}$$

Subtract 7 from 54 to get 47.

$$\frac{47}{8}$$

Factor

$$\frac{47}{2 ^ {3}} = 5\frac{7}{8} = 5.875$$