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

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

Evaluate

$$\frac{61}{30}\approx 2.033333333$$

Solution Steps

Least common multiple of 5 and 3 is 15. Convert \frac{1}{5} and \frac{4}{3} to fractions with denominator 15.

$$\frac{3}{15}+\frac{20}{15}+\frac{1}{2}$$

Since \frac{3}{15} and \frac{20}{15} have the same denominator, add them by adding their numerators.

$$\frac{3+20}{15}+\frac{1}{2}$$

Add 3 and 20 to get 23.

$$\frac{23}{15}+\frac{1}{2}$$

Least common multiple of 15 and 2 is 30. Convert \frac{23}{15} and \frac{1}{2} to fractions with denominator 30.

$$\frac{46}{30}+\frac{15}{30}$$

Since \frac{46}{30} and \frac{15}{30} have the same denominator, add them by adding their numerators.

$$\frac{46+15}{30}$$

Add 46 and 15 to get 61.

$$\frac{61}{30}$$

Factor

$$\frac{61}{2 \cdot 3 \cdot 5} = 2\frac{1}{30} = 2.033333333333333$$