Solve (151/2-23/8)

$$( 15 \frac { 1 } { 2 } - 2 \frac { 3 } { 8 } )$$

Evaluate

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

Solution Steps

Multiply 15 and 2 to get 30.

$$\frac{30+1}{2}-\frac{2\times 8+3}{8}$$

Add 30 and 1 to get 31.

$$\frac{31}{2}-\frac{2\times 8+3}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{31}{2}-\frac{16+3}{8}$$

Add 16 and 3 to get 19.

$$\frac{31}{2}-\frac{19}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{31}{2} and \frac{19}{8} to fractions with denominator 8.

$$\frac{124}{8}-\frac{19}{8}$$

Since \frac{124}{8} and \frac{19}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{124-19}{8}$$

Subtract 19 from 124 to get 105.

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

Factor

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