Solve 113/8-25/8

$$11 \frac { 3 } { 8 } - 2 \frac { 5 } { 8 }$$

Evaluate

$$\frac{35}{4}=8.75$$

Solution Steps

Multiply 11 and 8 to get 88.

$$\frac{88+3}{8}-\frac{2\times 8+5}{8}$$

Add 88 and 3 to get 91.

$$\frac{91}{8}-\frac{2\times 8+5}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{91}{8}-\frac{16+5}{8}$$

Add 16 and 5 to get 21.

$$\frac{91}{8}-\frac{21}{8}$$

Since \frac{91}{8} and \frac{21}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{91-21}{8}$$

Subtract 21 from 91 to get 70.

$$\frac{70}{8}$$

Reduce the fraction \frac{70}{8} to lowest terms by extracting and canceling out 2.

$$\frac{35}{4}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2}} = 8\frac{3}{4} = 8.75$$