Solve 81/8-55/8

$$8 \frac { 1 } { 8 } - 5 \frac { 5 } { 8 }$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Multiply 8 and 8 to get 64.

$$\frac{64+1}{8}-\frac{5\times 8+5}{8}$$

Add 64 and 1 to get 65.

$$\frac{65}{8}-\frac{5\times 8+5}{8}$$

Multiply 5 and 8 to get 40.

$$\frac{65}{8}-\frac{40+5}{8}$$

Add 40 and 5 to get 45.

$$\frac{65}{8}-\frac{45}{8}$$

Since \frac{65}{8} and \frac{45}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{65-45}{8}$$

Subtract 45 from 65 to get 20.

$$\frac{20}{8}$$

Reduce the fraction \frac{20}{8} to lowest terms by extracting and canceling out 4.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$