Solve 91/2-13/8*6

$$9 \frac { 1 } { 2 } - 1 \frac { 3 } { 8 } \cdot 6$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Multiply 9 and 2 to get 18.

$$\frac{18+1}{2}-\frac{1\times 8+3}{8}\times 6$$

Add 18 and 1 to get 19.

$$\frac{19}{2}-\frac{1\times 8+3}{8}\times 6$$

Multiply 1 and 8 to get 8.

$$\frac{19}{2}-\frac{8+3}{8}\times 6$$

Add 8 and 3 to get 11.

$$\frac{19}{2}-\frac{11}{8}\times 6$$

Express \frac{11}{8}\times 6 as a single fraction.

$$\frac{19}{2}-\frac{11\times 6}{8}$$

Multiply 11 and 6 to get 66.

$$\frac{19}{2}-\frac{66}{8}$$

Reduce the fraction \frac{66}{8} to lowest terms by extracting and canceling out 2.

$$\frac{19}{2}-\frac{33}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{19}{2} and \frac{33}{4} to fractions with denominator 4.

$$\frac{38}{4}-\frac{33}{4}$$

Since \frac{38}{4} and \frac{33}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{38-33}{4}$$

Subtract 33 from 38 to get 5.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$