Solve 1/6+3/10=

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

Evaluate

$$\frac{7}{15}\approx 0.466666667$$

Solution Steps

Least common multiple of 6 and 10 is 30. Convert \frac{1}{6} and \frac{3}{10} to fractions with denominator 30.

$$\frac{5}{30}+\frac{9}{30}$$

Since \frac{5}{30} and \frac{9}{30} have the same denominator, add them by adding their numerators.

$$\frac{5+9}{30}$$

Add 5 and 9 to get 14.

$$\frac{14}{30}$$

Reduce the fraction \frac{14}{30} to lowest terms by extracting and canceling out 2.

$$\frac{7}{15}$$

Factor

$$\frac{7}{3 \cdot 5} = 0.4666666666666667$$