Solve 3/2+4/5+6/8

$$\frac { 3 } { 2 } + \frac { 4 } { 5 } + \frac { 6 } { 8 }$$

Evaluate

$$\frac{61}{20}=3.05$$

Solution Steps

Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{4}{5} to fractions with denominator 10.

$$\frac{15}{10}+\frac{8}{10}+\frac{6}{8}$$

Since \frac{15}{10} and \frac{8}{10} have the same denominator, add them by adding their numerators.

$$\frac{15+8}{10}+\frac{6}{8}$$

Add 15 and 8 to get 23.

$$\frac{23}{10}+\frac{6}{8}$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$\frac{23}{10}+\frac{3}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{23}{10} and \frac{3}{4} to fractions with denominator 20.

$$\frac{46}{20}+\frac{15}{20}$$

Since \frac{46}{20} and \frac{15}{20} have the same denominator, add them by adding their numerators.

$$\frac{46+15}{20}$$

Add 46 and 15 to get 61.

$$\frac{61}{20}$$

Factor

$$\frac{61}{2 ^ {2} \cdot 5} = 3\frac{1}{20} = 3.05$$