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

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

Evaluate

$$\frac{47}{30}\approx 1.566666667$$

Solution Steps

Least common multiple of 5 and 3 is 15. Convert \frac{2}{5} and \frac{2}{3} to fractions with denominator 15.

$$\frac{6}{15}+\frac{10}{15}+\frac{2}{4}$$

Since \frac{6}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.

$$\frac{6+10}{15}+\frac{2}{4}$$

Add 6 and 10 to get 16.

$$\frac{16}{15}+\frac{2}{4}$$

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

$$\frac{16}{15}+\frac{1}{2}$$

Least common multiple of 15 and 2 is 30. Convert \frac{16}{15} and \frac{1}{2} to fractions with denominator 30.

$$\frac{32}{30}+\frac{15}{30}$$

Since \frac{32}{30} and \frac{15}{30} have the same denominator, add them by adding their numerators.

$$\frac{32+15}{30}$$

Add 32 and 15 to get 47.

$$\frac{47}{30}$$

Factor

$$\frac{47}{2 \cdot 3 \cdot 5} = 1\frac{17}{30} = 1.5666666666666667$$