Solve 3/5+4/8+7/2=

$$\frac { 3 } { 5 } + \frac { 4 } { 8 } + \frac { 7 } { 2 } =$$

Evaluate

$$\frac{23}{5}=4.6$$

Solution Steps

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$\frac{3}{5}+\frac{1}{2}+\frac{7}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{3}{5} and \frac{1}{2} to fractions with denominator 10.

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

Since \frac{6}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

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

Add 6 and 5 to get 11.

$$\frac{11}{10}+\frac{7}{2}$$

Least common multiple of 10 and 2 is 10. Convert \frac{11}{10} and \frac{7}{2} to fractions with denominator 10.

$$\frac{11}{10}+\frac{35}{10}$$

Since \frac{11}{10} and \frac{35}{10} have the same denominator, add them by adding their numerators.

$$\frac{11+35}{10}$$

Add 11 and 35 to get 46.

$$\frac{46}{10}$$

Reduce the fraction \frac{46}{10} to lowest terms by extracting and canceling out 2.

$$\frac{23}{5}$$

Factor

$$\frac{23}{5} = 4\frac{3}{5} = 4.6$$