Solve 5/60+5/59+5/58=

$$\frac{ 5 }{ 60 } + \frac{ 5 }{ 59 } + \frac{ 5 }{ 58 } =$$

Evaluate

$$\frac{5221}{20532}\approx 0.254285993$$

Solution Steps

Reduce the fraction \frac{5}{60} to lowest terms by extracting and canceling out 5.

$$\frac{1}{12}+\frac{5}{59}+\frac{5}{58}$$

Least common multiple of 12 and 59 is 708. Convert \frac{1}{12} and \frac{5}{59} to fractions with denominator 708.

$$\frac{59}{708}+\frac{60}{708}+\frac{5}{58}$$

Since \frac{59}{708} and \frac{60}{708} have the same denominator, add them by adding their numerators.

$$\frac{59+60}{708}+\frac{5}{58}$$

Add 59 and 60 to get 119.

$$\frac{119}{708}+\frac{5}{58}$$

Least common multiple of 708 and 58 is 20532. Convert \frac{119}{708} and \frac{5}{58} to fractions with denominator 20532.

$$\frac{3451}{20532}+\frac{1770}{20532}$$

Since \frac{3451}{20532} and \frac{1770}{20532} have the same denominator, add them by adding their numerators.

$$\frac{3451+1770}{20532}$$

Add 3451 and 1770 to get 5221.

$$\frac{5221}{20532}$$

Factor

$$\frac{23 \cdot 227}{2 ^ {2} \cdot 3 \cdot 29 \cdot 59} = 0.25428599259692186$$