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

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

Evaluate

$$\frac{9}{10}=0.9$$

Solution Steps

Least common multiple of 5 and 10 is 10. Convert \frac{3}{5} and \frac{7}{10} to fractions with denominator 10.

$$\frac{6}{10}+\frac{7}{10}-\frac{2}{5}$$

Since \frac{6}{10} and \frac{7}{10} have the same denominator, add them by adding their numerators.

$$\frac{6+7}{10}-\frac{2}{5}$$

Add 6 and 7 to get 13.

$$\frac{13}{10}-\frac{2}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{13}{10} and \frac{2}{5} to fractions with denominator 10.

$$\frac{13}{10}-\frac{4}{10}$$

Since \frac{13}{10} and \frac{4}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-4}{10}$$

Subtract 4 from 13 to get 9.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$