Solve 7/9+8/11=

$$\frac { 7 } { 9 } + \frac { 8 } { 11 } =$$

Evaluate

$$\frac{149}{99}\approx 1.505050505$$

Solution Steps

Least common multiple of 9 and 11 is 99. Convert \frac{7}{9} and \frac{8}{11} to fractions with denominator 99.

$$\frac{77}{99}+\frac{72}{99}$$

Since \frac{77}{99} and \frac{72}{99} have the same denominator, add them by adding their numerators.

$$\frac{77+72}{99}$$

Add 77 and 72 to get 149.

$$\frac{149}{99}$$

Factor

$$\frac{149}{3 ^ {2} \cdot 11} = 1\frac{50}{99} = 1.505050505050505$$