Solve 251/2-123/8

$$25 \frac { 1 } { 2 } - 12 \frac { 3 } { 8 }$$

Evaluate

$$\frac{105}{8}=13.125$$

Solution Steps

Multiply 25 and 2 to get 50.

$$\frac{50+1}{2}-\frac{12\times 8+3}{8}$$

Add 50 and 1 to get 51.

$$\frac{51}{2}-\frac{12\times 8+3}{8}$$

Multiply 12 and 8 to get 96.

$$\frac{51}{2}-\frac{96+3}{8}$$

Add 96 and 3 to get 99.

$$\frac{51}{2}-\frac{99}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{51}{2} and \frac{99}{8} to fractions with denominator 8.

$$\frac{204}{8}-\frac{99}{8}$$

Since \frac{204}{8} and \frac{99}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{204-99}{8}$$

Subtract 99 from 204 to get 105.

$$\frac{105}{8}$$

Factor

$$\frac{3 \cdot 5 \cdot 7}{2 ^ {3}} = 13\frac{1}{8} = 13.125$$