Solve 83/8-25/8

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

Evaluate

$$\frac{23}{4}=5.75$$

Solution Steps

Multiply 8 and 8 to get 64.

$$\frac{64+3}{8}-\frac{2\times 8+5}{8}$$

Add 64 and 3 to get 67.

$$\frac{67}{8}-\frac{2\times 8+5}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{67}{8}-\frac{16+5}{8}$$

Add 16 and 5 to get 21.

$$\frac{67}{8}-\frac{21}{8}$$

Since \frac{67}{8} and \frac{21}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{67-21}{8}$$

Subtract 21 from 67 to get 46.

$$\frac{46}{8}$$

Reduce the fraction \frac{46}{8} to lowest terms by extracting and canceling out 2.

$$\frac{23}{4}$$

Factor

$$\frac{23}{2 ^ {2}} = 5\frac{3}{4} = 5.75$$