Solve (5/30+15/30+6/30)

$$( \frac { 5 } { 30 } + \frac { 15 } { 30 } + \frac { 6 } { 30 } )$$

Evaluate

$$\frac{13}{15}\approx 0.866666667$$

Solution Steps

Reduce the fraction \frac{5}{30} to lowest terms by extracting and canceling out 5.

$$\frac{1}{6}+\frac{15}{30}+\frac{6}{30}$$

Reduce the fraction \frac{15}{30} to lowest terms by extracting and canceling out 15.

$$\frac{1}{6}+\frac{1}{2}+\frac{6}{30}$$

Least common multiple of 6 and 2 is 6. Convert \frac{1}{6} and \frac{1}{2} to fractions with denominator 6.

$$\frac{1}{6}+\frac{3}{6}+\frac{6}{30}$$

Since \frac{1}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{1+3}{6}+\frac{6}{30}$$

Add 1 and 3 to get 4.

$$\frac{4}{6}+\frac{6}{30}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}+\frac{6}{30}$$

Reduce the fraction \frac{6}{30} to lowest terms by extracting and canceling out 6.

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

Least common multiple of 3 and 5 is 15. Convert \frac{2}{3} and \frac{1}{5} to fractions with denominator 15.

$$\frac{10}{15}+\frac{3}{15}$$

Since \frac{10}{15} and \frac{3}{15} have the same denominator, add them by adding their numerators.

$$\frac{10+3}{15}$$

Add 10 and 3 to get 13.

$$\frac{13}{15}$$

Factor

$$\frac{13}{3 \cdot 5} = 0.8666666666666667$$