Solve 22/4+11/3+10/12

$$\frac { 22 } { 4 } + \frac { 11 } { 3 } + \frac { 10 } { 12 }$$

Evaluate

$$10$$

Solution Steps

Reduce the fraction \frac{22}{4} to lowest terms by extracting and canceling out 2.

$$\frac{11}{2}+\frac{11}{3}+\frac{10}{12}$$

Least common multiple of 2 and 3 is 6. Convert \frac{11}{2} and \frac{11}{3} to fractions with denominator 6.

$$\frac{33}{6}+\frac{22}{6}+\frac{10}{12}$$

Since \frac{33}{6} and \frac{22}{6} have the same denominator, add them by adding their numerators.

$$\frac{33+22}{6}+\frac{10}{12}$$

Add 33 and 22 to get 55.

$$\frac{55}{6}+\frac{10}{12}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$\frac{55}{6}+\frac{5}{6}$$

Since \frac{55}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{55+5}{6}$$

Add 55 and 5 to get 60.

$$\frac{60}{6}$$

Divide 60 by 6 to get 10.

$$10$$

Factor

$$2\times 5$$