Solve (1/2+4/5+1/3)

$$( \frac { 1 } { 2 } + \frac { 4 } { 5 } + \frac { 1 } { 3 } )$$

Evaluate

$$\frac{49}{30}\approx 1.633333333$$

Solution Steps

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{4}{5} to fractions with denominator 10.

$$\frac{5}{10}+\frac{8}{10}+\frac{1}{3}$$

Since \frac{5}{10} and \frac{8}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+8}{10}+\frac{1}{3}$$

Add 5 and 8 to get 13.

$$\frac{13}{10}+\frac{1}{3}$$

Least common multiple of 10 and 3 is 30. Convert \frac{13}{10} and \frac{1}{3} to fractions with denominator 30.

$$\frac{39}{30}+\frac{10}{30}$$

Since \frac{39}{30} and \frac{10}{30} have the same denominator, add them by adding their numerators.

$$\frac{39+10}{30}$$

Add 39 and 10 to get 49.

$$\frac{49}{30}$$

Factor

$$\frac{7 ^ {2}}{2 \cdot 3 \cdot 5} = 1\frac{19}{30} = 1.6333333333333333$$