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

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

Evaluate

$$\frac{13}{5}=2.6$$

Solution Steps

Least common multiple of 10 and 5 is 10. Convert \frac{7}{10} and \frac{2}{5} to fractions with denominator 10.

$$\frac{7}{10}+\frac{4}{10}+\frac{3}{2}$$

Since \frac{7}{10} and \frac{4}{10} have the same denominator, add them by adding their numerators.

$$\frac{7+4}{10}+\frac{3}{2}$$

Add 7 and 4 to get 11.

$$\frac{11}{10}+\frac{3}{2}$$

Least common multiple of 10 and 2 is 10. Convert \frac{11}{10} and \frac{3}{2} to fractions with denominator 10.

$$\frac{11}{10}+\frac{15}{10}$$

Since \frac{11}{10} and \frac{15}{10} have the same denominator, add them by adding their numerators.

$$\frac{11+15}{10}$$

Add 11 and 15 to get 26.

$$\frac{26}{10}$$

Reduce the fraction \frac{26}{10} to lowest terms by extracting and canceling out 2.

$$\frac{13}{5}$$

Factor

$$\frac{13}{5} = 2\frac{3}{5} = 2.6$$