Solve 1/19+1/57+1/76

$$\frac{ 1 }{ 19 } + \frac{ 1 }{ 57 } + \frac{ 1 }{ 76 }$$

Evaluate

$$\frac{1}{12}\approx 0.083333333$$

Solution Steps

Least common multiple of 19 and 57 is 57. Convert \frac{1}{19} and \frac{1}{57} to fractions with denominator 57.

$$\frac{3}{57}+\frac{1}{57}+\frac{1}{76}$$

Since \frac{3}{57} and \frac{1}{57} have the same denominator, add them by adding their numerators.

$$\frac{3+1}{57}+\frac{1}{76}$$

Add 3 and 1 to get 4.

$$\frac{4}{57}+\frac{1}{76}$$

Least common multiple of 57 and 76 is 228. Convert \frac{4}{57} and \frac{1}{76} to fractions with denominator 228.

$$\frac{16}{228}+\frac{3}{228}$$

Since \frac{16}{228} and \frac{3}{228} have the same denominator, add them by adding their numerators.

$$\frac{16+3}{228}$$

Add 16 and 3 to get 19.

$$\frac{19}{228}$$

Reduce the fraction \frac{19}{228} to lowest terms by extracting and canceling out 19.

$$\frac{1}{12}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3} = 0.08333333333333333$$