Solve 155/8-41/2

$$15 \frac { 5 } { 8 } - 4 \frac { 1 } { 2 }$$

Evaluate

$$\frac{89}{8}=11.125$$

Solution Steps

Multiply 15 and 8 to get 120.

$$\frac{120+5}{8}-\frac{4\times 2+1}{2}$$

Add 120 and 5 to get 125.

$$\frac{125}{8}-\frac{4\times 2+1}{2}$$

Multiply 4 and 2 to get 8.

$$\frac{125}{8}-\frac{8+1}{2}$$

Add 8 and 1 to get 9.

$$\frac{125}{8}-\frac{9}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{125}{8} and \frac{9}{2} to fractions with denominator 8.

$$\frac{125}{8}-\frac{36}{8}$$

Since \frac{125}{8} and \frac{36}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{125-36}{8}$$

Subtract 36 from 125 to get 89.

$$\frac{89}{8}$$

Factor

$$\frac{89}{2 ^ {3}} = 11\frac{1}{8} = 11.125$$