Solve 94/12-49/12

$$9 \frac { 4 } { 12 } - 4 \frac { 9 } { 12 }$$

Evaluate

$$\frac{55}{12}\approx 4.583333333$$

Solution Steps

Multiply 9 and 12 to get 108.

$$\frac{108+4}{12}-\frac{4\times 12+9}{12}$$

Add 108 and 4 to get 112.

$$\frac{112}{12}-\frac{4\times 12+9}{12}$$

Reduce the fraction \frac{112}{12} to lowest terms by extracting and canceling out 4.

$$\frac{28}{3}-\frac{4\times 12+9}{12}$$

Multiply 4 and 12 to get 48.

$$\frac{28}{3}-\frac{48+9}{12}$$

Add 48 and 9 to get 57.

$$\frac{28}{3}-\frac{57}{12}$$

Reduce the fraction \frac{57}{12} to lowest terms by extracting and canceling out 3.

$$\frac{28}{3}-\frac{19}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{28}{3} and \frac{19}{4} to fractions with denominator 12.

$$\frac{112}{12}-\frac{57}{12}$$

Since \frac{112}{12} and \frac{57}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{112-57}{12}$$

Subtract 57 from 112 to get 55.

$$\frac{55}{12}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {2} \cdot 3} = 4\frac{7}{12} = 4.583333333333333$$