Solve 16/27+4/82+2/24

$$\frac{ 16 }{ 27 } + \frac{ 4 }{ 82 } + \frac{ 2 }{ 24 }$$

Evaluate

$$\frac{3209}{4428}\approx 0.724706414$$

Solution Steps

Reduce the fraction \frac{4}{82} to lowest terms by extracting and canceling out 2.

$$\frac{16}{27}+\frac{2}{41}+\frac{2}{24}$$

Least common multiple of 27 and 41 is 1107. Convert \frac{16}{27} and \frac{2}{41} to fractions with denominator 1107.

$$\frac{656}{1107}+\frac{54}{1107}+\frac{2}{24}$$

Since \frac{656}{1107} and \frac{54}{1107} have the same denominator, add them by adding their numerators.

$$\frac{656+54}{1107}+\frac{2}{24}$$

Add 656 and 54 to get 710.

$$\frac{710}{1107}+\frac{2}{24}$$

Reduce the fraction \frac{2}{24} to lowest terms by extracting and canceling out 2.

$$\frac{710}{1107}+\frac{1}{12}$$

Least common multiple of 1107 and 12 is 4428. Convert \frac{710}{1107} and \frac{1}{12} to fractions with denominator 4428.

$$\frac{2840}{4428}+\frac{369}{4428}$$

Since \frac{2840}{4428} and \frac{369}{4428} have the same denominator, add them by adding their numerators.

$$\frac{2840+369}{4428}$$

Add 2840 and 369 to get 3209.

$$\frac{3209}{4428}$$

Factor

$$\frac{3209}{2 ^ {2} \cdot 3 ^ {3} \cdot 41} = 0.724706413730804$$