Solve 2/5+7/15-3/10=

$$\frac { 2 } { 5 } + \frac { 7 } { 15 } - \frac { 3 } { 10 } =$$

Evaluate

$$\frac{17}{30}\approx 0.566666667$$

Solution Steps

Least common multiple of 5 and 15 is 15. Convert \frac{2}{5} and \frac{7}{15} to fractions with denominator 15.

$$\frac{6}{15}+\frac{7}{15}-\frac{3}{10}$$

Since \frac{6}{15} and \frac{7}{15} have the same denominator, add them by adding their numerators.

$$\frac{6+7}{15}-\frac{3}{10}$$

Add 6 and 7 to get 13.

$$\frac{13}{15}-\frac{3}{10}$$

Least common multiple of 15 and 10 is 30. Convert \frac{13}{15} and \frac{3}{10} to fractions with denominator 30.

$$\frac{26}{30}-\frac{9}{30}$$

Since \frac{26}{30} and \frac{9}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-9}{30}$$

Subtract 9 from 26 to get 17.

$$\frac{17}{30}$$

Factor

$$\frac{17}{2 \cdot 3 \cdot 5} = 0.5666666666666667$$