Solve 1/3+2/5+1/30/23/30

$$\frac { \frac { 1 } { 3 } + \frac { 2 } { 5 } + \frac { 1 } { 30 } } { 23 / 30 }$$

Evaluate

$$1$$

Solution Steps

Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{2}{5} to fractions with denominator 15.

$$\frac{\frac{5}{15}+\frac{6}{15}+\frac{1}{30}}{\frac{23}{30}}$$

Since \frac{5}{15} and \frac{6}{15} have the same denominator, add them by adding their numerators.

$$\frac{\frac{5+6}{15}+\frac{1}{30}}{\frac{23}{30}}$$

Add 5 and 6 to get 11.

$$\frac{\frac{11}{15}+\frac{1}{30}}{\frac{23}{30}}$$

Least common multiple of 15 and 30 is 30. Convert \frac{11}{15} and \frac{1}{30} to fractions with denominator 30.

$$\frac{\frac{22}{30}+\frac{1}{30}}{\frac{23}{30}}$$

Since \frac{22}{30} and \frac{1}{30} have the same denominator, add them by adding their numerators.

$$\frac{\frac{22+1}{30}}{\frac{23}{30}}$$

Add 22 and 1 to get 23.

$$\frac{\frac{23}{30}}{\frac{23}{30}}$$

Divide \frac{23}{30} by \frac{23}{30} to get 1.

$$1$$

Factor

$$1$$