Solve 1/5+1/2+7/10

$$\frac { 1 } { 5 } + \frac { 1 } { 2 } + \frac { 7 } { 10 }$$

Evaluate

$$\frac{7}{5}=1.4$$

Solution Steps

Least common multiple of 5 and 2 is 10. Convert \frac{1}{5} and \frac{1}{2} to fractions with denominator 10.

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

Since \frac{2}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

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

Add 2 and 5 to get 7.

$$\frac{7}{10}+\frac{7}{10}$$

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

$$\frac{7+7}{10}$$

Add 7 and 7 to get 14.

$$\frac{14}{10}$$

Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$\frac{7}{5}$$

Factor

$$\frac{7}{5} = 1\frac{2}{5} = 1.4$$