Solve 81/2-37/8

$$8 \frac { 1 } { 2 } - 3 \frac { 7 } { 8 }$$

Evaluate

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

Solution Steps

Multiply 8 and 2 to get 16.

$$\frac{16+1}{2}-\frac{3\times 8+7}{8}$$

Add 16 and 1 to get 17.

$$\frac{17}{2}-\frac{3\times 8+7}{8}$$

Multiply 3 and 8 to get 24.

$$\frac{17}{2}-\frac{24+7}{8}$$

Add 24 and 7 to get 31.

$$\frac{17}{2}-\frac{31}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{17}{2} and \frac{31}{8} to fractions with denominator 8.

$$\frac{68}{8}-\frac{31}{8}$$

Since \frac{68}{8} and \frac{31}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{68-31}{8}$$

Subtract 31 from 68 to get 37.

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

Factor

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