Solve 95/12-81/6

$$9 \frac { 5 } { 12 } - 8 \frac { 1 } { 6 }$$

Evaluate

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

Solution Steps

Multiply 9 and 12 to get 108.

$$\frac{108+5}{12}-\frac{8\times 6+1}{6}$$

Add 108 and 5 to get 113.

$$\frac{113}{12}-\frac{8\times 6+1}{6}$$

Multiply 8 and 6 to get 48.

$$\frac{113}{12}-\frac{48+1}{6}$$

Add 48 and 1 to get 49.

$$\frac{113}{12}-\frac{49}{6}$$

Least common multiple of 12 and 6 is 12. Convert \frac{113}{12} and \frac{49}{6} to fractions with denominator 12.

$$\frac{113}{12}-\frac{98}{12}$$

Since \frac{113}{12} and \frac{98}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{113-98}{12}$$

Subtract 98 from 113 to get 15.

$$\frac{15}{12}$$

Reduce the fraction \frac{15}{12} to lowest terms by extracting and canceling out 3.

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

Factor

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