Solve 40/121+81/99

$$\frac { 40 } { 121 } + \frac { 81 } { 99 }$$

Evaluate

$$\frac{139}{121}\approx 1.148760331$$

Solution Steps

Reduce the fraction \frac{81}{99} to lowest terms by extracting and canceling out 9.

$$\frac{40}{121}+\frac{9}{11}$$

Least common multiple of 121 and 11 is 121. Convert \frac{40}{121} and \frac{9}{11} to fractions with denominator 121.

$$\frac{40}{121}+\frac{99}{121}$$

Since \frac{40}{121} and \frac{99}{121} have the same denominator, add them by adding their numerators.

$$\frac{40+99}{121}$$

Add 40 and 99 to get 139.

$$\frac{139}{121}$$

Factor

$$\frac{139}{11 ^ {2}} = 1\frac{18}{121} = 1.1487603305785123$$