Solve 41/2-37/8

$$4 \frac { 1 } { 2 } - 3 \frac { 7 } { 8 }$$

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

Multiply 4 and 2 to get 8.

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

Add 8 and 1 to get 9.

$$\frac{9}{2}-\frac{3\times 8+7}{8}$$

Multiply 3 and 8 to get 24.

$$\frac{9}{2}-\frac{24+7}{8}$$

Add 24 and 7 to get 31.

$$\frac{9}{2}-\frac{31}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{9}{2} and \frac{31}{8} to fractions with denominator 8.

$$\frac{36}{8}-\frac{31}{8}$$

Since \frac{36}{8} and \frac{31}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-31}{8}$$

Subtract 31 from 36 to get 5.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$