Solve 1457/1650+47/825+1/660

$$\frac{ 1457 }{ 1650 } + \frac{ 47 }{ 825 } + \frac{ 1 }{ 660 }$$

Evaluate

$$\frac{3107}{3300}\approx 0.941515152$$

Solution Steps

Least common multiple of 1650 and 825 is 1650. Convert \frac{1457}{1650} and \frac{47}{825} to fractions with denominator 1650.

$$\frac{1457}{1650}+\frac{94}{1650}+\frac{1}{660}$$

Since \frac{1457}{1650} and \frac{94}{1650} have the same denominator, add them by adding their numerators.

$$\frac{1457+94}{1650}+\frac{1}{660}$$

Add 1457 and 94 to get 1551.

$$\frac{1551}{1650}+\frac{1}{660}$$

Reduce the fraction \frac{1551}{1650} to lowest terms by extracting and canceling out 33.

$$\frac{47}{50}+\frac{1}{660}$$

Least common multiple of 50 and 660 is 3300. Convert \frac{47}{50} and \frac{1}{660} to fractions with denominator 3300.

$$\frac{3102}{3300}+\frac{5}{3300}$$

Since \frac{3102}{3300} and \frac{5}{3300} have the same denominator, add them by adding their numerators.

$$\frac{3102+5}{3300}$$

Add 3102 and 5 to get 3107.

$$\frac{3107}{3300}$$

Factor

$$\frac{13 \cdot 239}{2 ^ {2} \cdot 3 \cdot 5 ^ {2} \cdot 11} = 0.9415151515151515$$