Solve 1/10+3/10+11/30+1/15

$$\frac { 1 } { 10 } + \frac { 3 } { 10 } + \frac { 11 } { 30 } + \frac { 1 } { 15 }$$

Evaluate

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

Solution Steps

Since \frac{1}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

$$\frac{1+3}{10}+\frac{11}{30}+\frac{1}{15}$$

Add 1 and 3 to get 4.

$$\frac{4}{10}+\frac{11}{30}+\frac{1}{15}$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}+\frac{11}{30}+\frac{1}{15}$$

Least common multiple of 5 and 30 is 30. Convert \frac{2}{5} and \frac{11}{30} to fractions with denominator 30.

$$\frac{12}{30}+\frac{11}{30}+\frac{1}{15}$$

Since \frac{12}{30} and \frac{11}{30} have the same denominator, add them by adding their numerators.

$$\frac{12+11}{30}+\frac{1}{15}$$

Add 12 and 11 to get 23.

$$\frac{23}{30}+\frac{1}{15}$$

Least common multiple of 30 and 15 is 30. Convert \frac{23}{30} and \frac{1}{15} to fractions with denominator 30.

$$\frac{23}{30}+\frac{2}{30}$$

Since \frac{23}{30} and \frac{2}{30} have the same denominator, add them by adding their numerators.

$$\frac{23+2}{30}$$

Add 23 and 2 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

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