Solve 7/15+5/3+3/20

$$\frac { 7 } { 15 } + \frac { 5 } { 3 } + \frac { 3 } { 20 }$$

Evaluate

$$\frac{137}{60}\approx 2.283333333$$

Solution Steps

Least common multiple of 15 and 3 is 15. Convert \frac{7}{15} and \frac{5}{3} to fractions with denominator 15.

$$\frac{7}{15}+\frac{25}{15}+\frac{3}{20}$$

Since \frac{7}{15} and \frac{25}{15} have the same denominator, add them by adding their numerators.

$$\frac{7+25}{15}+\frac{3}{20}$$

Add 7 and 25 to get 32.

$$\frac{32}{15}+\frac{3}{20}$$

Least common multiple of 15 and 20 is 60. Convert \frac{32}{15} and \frac{3}{20} to fractions with denominator 60.

$$\frac{128}{60}+\frac{9}{60}$$

Since \frac{128}{60} and \frac{9}{60} have the same denominator, add them by adding their numerators.

$$\frac{128+9}{60}$$

Add 128 and 9 to get 137.

$$\frac{137}{60}$$

Factor

$$\frac{137}{2 ^ {2} \cdot 3 \cdot 5} = 2\frac{17}{60} = 2.283333333333333$$