Solve 3/2+4/6+1/5=?

$$\frac { 3 } { 2 } + \frac { 4 } { 6 } + \frac { 1 } { 5 } = ?$$

Evaluate

$$\frac{71}{30}\approx 2.366666667$$

Solution Steps

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 2 and 3 is 6. Convert \frac{3}{2} and \frac{2}{3} to fractions with denominator 6.

$$\frac{9}{6}+\frac{4}{6}+\frac{1}{5}$$

Since \frac{9}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{9+4}{6}+\frac{1}{5}$$

Add 9 and 4 to get 13.

$$\frac{13}{6}+\frac{1}{5}$$

Least common multiple of 6 and 5 is 30. Convert \frac{13}{6} and \frac{1}{5} to fractions with denominator 30.

$$\frac{65}{30}+\frac{6}{30}$$

Since \frac{65}{30} and \frac{6}{30} have the same denominator, add them by adding their numerators.

$$\frac{65+6}{30}$$

Add 65 and 6 to get 71.

$$\frac{71}{30}$$

Factor

$$\frac{71}{2 \cdot 3 \cdot 5} = 2\frac{11}{30} = 2.3666666666666667$$