Solve 3/10+1/2+1/6

$$\frac { 3 } { 10 } + \frac { 1 } { 2 } + \frac { 1 } { 6 }$$

Evaluate

$$\frac{29}{30}\approx 0.966666667$$

Solution Steps

Least common multiple of 10 and 2 is 10. Convert \frac{3}{10} and \frac{1}{2} to fractions with denominator 10.

$$\frac{3}{10}+\frac{5}{10}+\frac{1}{6}$$

Since \frac{3}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$\frac{3+5}{10}+\frac{1}{6}$$

Add 3 and 5 to get 8.

$$\frac{8}{10}+\frac{1}{6}$$

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}+\frac{1}{6}$$

Least common multiple of 5 and 6 is 30. Convert \frac{4}{5} and \frac{1}{6} to fractions with denominator 30.

$$\frac{24}{30}+\frac{5}{30}$$

Since \frac{24}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{24+5}{30}$$

Add 24 and 5 to get 29.

$$\frac{29}{30}$$

Factor

$$\frac{29}{2 \cdot 3 \cdot 5} = 0.9666666666666667$$