Solve 5/27+4/12+2/9

$$\frac { 5 } { 27 } + \frac { 4 } { 12 } + \frac { 2 } { 9 }$$

Evaluate

$$\frac{20}{27}\approx 0.740740741$$

Solution Steps

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

$$\frac{5}{27}+\frac{1}{3}+\frac{2}{9}$$

Least common multiple of 27 and 3 is 27. Convert \frac{5}{27} and \frac{1}{3} to fractions with denominator 27.

$$\frac{5}{27}+\frac{9}{27}+\frac{2}{9}$$

Since \frac{5}{27} and \frac{9}{27} have the same denominator, add them by adding their numerators.

$$\frac{5+9}{27}+\frac{2}{9}$$

Add 5 and 9 to get 14.

$$\frac{14}{27}+\frac{2}{9}$$

Least common multiple of 27 and 9 is 27. Convert \frac{14}{27} and \frac{2}{9} to fractions with denominator 27.

$$\frac{14}{27}+\frac{6}{27}$$

Since \frac{14}{27} and \frac{6}{27} have the same denominator, add them by adding their numerators.

$$\frac{14+6}{27}$$

Add 14 and 6 to get 20.

$$\frac{20}{27}$$

Factor

$$\frac{2 ^ {2} \cdot 5}{3 ^ {3}} = 0.7407407407407407$$