Solve 83/8-21/2

$$8 \frac { 3 } { 8 } - 2 \frac { 1 } { 2 }$$

Evaluate

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

Solution Steps

Multiply 8 and 8 to get 64.

$$\frac{64+3}{8}-\frac{2\times 2+1}{2}$$

Add 64 and 3 to get 67.

$$\frac{67}{8}-\frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{67}{8}-\frac{4+1}{2}$$

Add 4 and 1 to get 5.

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

Least common multiple of 8 and 2 is 8. Convert \frac{67}{8} and \frac{5}{2} to fractions with denominator 8.

$$\frac{67}{8}-\frac{20}{8}$$

Since \frac{67}{8} and \frac{20}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{67-20}{8}$$

Subtract 20 from 67 to get 47.

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

Factor

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