Solve 1/30+7/60+7/23

$$\frac { 1 } { 30 } + \frac { 7 } { 60 } + \frac { 7 } { 23 }$$

Evaluate

$$\frac{209}{460}\approx 0.454347826$$

Solution Steps

Least common multiple of 30 and 60 is 60. Convert \frac{1}{30} and \frac{7}{60} to fractions with denominator 60.

$$\frac{2}{60}+\frac{7}{60}+\frac{7}{23}$$

Since \frac{2}{60} and \frac{7}{60} have the same denominator, add them by adding their numerators.

$$\frac{2+7}{60}+\frac{7}{23}$$

Add 2 and 7 to get 9.

$$\frac{9}{60}+\frac{7}{23}$$

Reduce the fraction \frac{9}{60} to lowest terms by extracting and canceling out 3.

$$\frac{3}{20}+\frac{7}{23}$$

Least common multiple of 20 and 23 is 460. Convert \frac{3}{20} and \frac{7}{23} to fractions with denominator 460.

$$\frac{69}{460}+\frac{140}{460}$$

Since \frac{69}{460} and \frac{140}{460} have the same denominator, add them by adding their numerators.

$$\frac{69+140}{460}$$

Add 69 and 140 to get 209.

$$\frac{209}{460}$$

Factor

$$\frac{11 \cdot 19}{2 ^ {2} \cdot 5 \cdot 23} = 0.4543478260869565$$