Solve 1/30+1/60+1/23

$$\frac { 1 } { 30 } + \frac { 1 } { 60 } + \frac { 1 } { 23 }$$

Evaluate

$$\frac{43}{460}\approx 0.093478261$$

Solution Steps

Least common multiple of 30 and 60 is 60. Convert \frac{1}{30} and \frac{1}{60} to fractions with denominator 60.

$$\frac{2}{60}+\frac{1}{60}+\frac{1}{23}$$

Since \frac{2}{60} and \frac{1}{60} have the same denominator, add them by adding their numerators.

$$\frac{2+1}{60}+\frac{1}{23}$$

Add 2 and 1 to get 3.

$$\frac{3}{60}+\frac{1}{23}$$

Reduce the fraction \frac{3}{60} to lowest terms by extracting and canceling out 3.

$$\frac{1}{20}+\frac{1}{23}$$

Least common multiple of 20 and 23 is 460. Convert \frac{1}{20} and \frac{1}{23} to fractions with denominator 460.

$$\frac{23}{460}+\frac{20}{460}$$

Since \frac{23}{460} and \frac{20}{460} have the same denominator, add them by adding their numerators.

$$\frac{23+20}{460}$$

Add 23 and 20 to get 43.

$$\frac{43}{460}$$

Factor

$$\frac{43}{2 ^ {2} \cdot 5 \cdot 23} = 0.09347826086956522$$