Solve 92/12-39/12

$$9 \frac { 2 } { 12 } - 3 \frac { 9 } { 12 }$$

Evaluate

$$\frac{65}{12}\approx 5.416666667$$

Solution Steps

Multiply 9 and 12 to get 108.

$$\frac{108+2}{12}-\frac{3\times 12+9}{12}$$

Add 108 and 2 to get 110.

$$\frac{110}{12}-\frac{3\times 12+9}{12}$$

Reduce the fraction \frac{110}{12} to lowest terms by extracting and canceling out 2.

$$\frac{55}{6}-\frac{3\times 12+9}{12}$$

Multiply 3 and 12 to get 36.

$$\frac{55}{6}-\frac{36+9}{12}$$

Add 36 and 9 to get 45.

$$\frac{55}{6}-\frac{45}{12}$$

Reduce the fraction \frac{45}{12} to lowest terms by extracting and canceling out 3.

$$\frac{55}{6}-\frac{15}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{55}{6} and \frac{15}{4} to fractions with denominator 12.

$$\frac{110}{12}-\frac{45}{12}$$

Since \frac{110}{12} and \frac{45}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{110-45}{12}$$

Subtract 45 from 110 to get 65.

$$\frac{65}{12}$$

Factor

$$\frac{5 \cdot 13}{2 ^ {2} \cdot 3} = 5\frac{5}{12} = 5.416666666666667$$