Solve 71/2-27/8

$$7 \frac { 1 } { 2 } - 2 \frac { 7 } { 8 }$$

Evaluate

$$\frac{37}{8}=4.625$$

Solution Steps

Multiply 7 and 2 to get 14.

$$\frac{14+1}{2}-\frac{2\times 8+7}{8}$$

Add 14 and 1 to get 15.

$$\frac{15}{2}-\frac{2\times 8+7}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{15}{2}-\frac{16+7}{8}$$

Add 16 and 7 to get 23.

$$\frac{15}{2}-\frac{23}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{15}{2} and \frac{23}{8} to fractions with denominator 8.

$$\frac{60}{8}-\frac{23}{8}$$

Since \frac{60}{8} and \frac{23}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{60-23}{8}$$

Subtract 23 from 60 to get 37.

$$\frac{37}{8}$$

Factor

$$\frac{37}{2 ^ {3}} = 4\frac{5}{8} = 4.625$$