Solve 5/12+2/8+21/9)

$$\frac { 5 } { 12 } + \frac { 2 } { 8 } + \frac { 21 } { 9 } )$$

Evaluate

$$3$$

Solution Steps

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

$$\frac{5}{12}+\frac{1}{4}+\frac{21}{9}$$

Least common multiple of 12 and 4 is 12. Convert \frac{5}{12} and \frac{1}{4} to fractions with denominator 12.

$$\frac{5}{12}+\frac{3}{12}+\frac{21}{9}$$

Since \frac{5}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{5+3}{12}+\frac{21}{9}$$

Add 5 and 3 to get 8.

$$\frac{8}{12}+\frac{21}{9}$$

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$\frac{2}{3}+\frac{21}{9}$$

Reduce the fraction \frac{21}{9} to lowest terms by extracting and canceling out 3.

$$\frac{2}{3}+\frac{7}{3}$$

Since \frac{2}{3} and \frac{7}{3} have the same denominator, add them by adding their numerators.

$$\frac{2+7}{3}$$

Add 2 and 7 to get 9.

$$\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$3$$

Factor

$$3$$