Solve 66/92+92/66=

$$\frac { 66 } { 92 } + \frac { 92 } { 66 } =$$

Evaluate

$$\frac{3205}{1518}\approx 2.111330698$$

Solution Steps

Reduce the fraction \frac{66}{92} to lowest terms by extracting and canceling out 2.

$$\frac{33}{46}+\frac{92}{66}$$

Reduce the fraction \frac{92}{66} to lowest terms by extracting and canceling out 2.

$$\frac{33}{46}+\frac{46}{33}$$

Least common multiple of 46 and 33 is 1518. Convert \frac{33}{46} and \frac{46}{33} to fractions with denominator 1518.

$$\frac{1089}{1518}+\frac{2116}{1518}$$

Since \frac{1089}{1518} and \frac{2116}{1518} have the same denominator, add them by adding their numerators.

$$\frac{1089+2116}{1518}$$

Add 1089 and 2116 to get 3205.

$$\frac{3205}{1518}$$

Factor

$$\frac{5 \cdot 641}{2 \cdot 3 \cdot 11 \cdot 23} = 2\frac{169}{1518} = 2.11133069828722$$