Solve 9/12+1/20+1/30

$$\frac { 9 } { 12 } + \frac { 1 } { 20 } + \frac { 1 } { 30 }$$

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$\frac{3}{4}+\frac{1}{20}+\frac{1}{30}$$

Least common multiple of 4 and 20 is 20. Convert \frac{3}{4} and \frac{1}{20} to fractions with denominator 20.

$$\frac{15}{20}+\frac{1}{20}+\frac{1}{30}$$

Since \frac{15}{20} and \frac{1}{20} have the same denominator, add them by adding their numerators.

$$\frac{15+1}{20}+\frac{1}{30}$$

Add 15 and 1 to get 16.

$$\frac{16}{20}+\frac{1}{30}$$

Reduce the fraction \frac{16}{20} to lowest terms by extracting and canceling out 4.

$$\frac{4}{5}+\frac{1}{30}$$

Least common multiple of 5 and 30 is 30. Convert \frac{4}{5} and \frac{1}{30} to fractions with denominator 30.

$$\frac{24}{30}+\frac{1}{30}$$

Since \frac{24}{30} and \frac{1}{30} have the same denominator, add them by adding their numerators.

$$\frac{24+1}{30}$$

Add 24 and 1 to get 25.

$$\frac{25}{30}$$

Reduce the fraction \frac{25}{30} to lowest terms by extracting and canceling out 5.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$