Solve 8/9+4/11+1/9

$$\frac { 8 } { 9 } + \frac { 4 } { 11 } + \frac { 1 } { 9 }$$

Evaluate

$$\frac{15}{11}\approx 1.363636364$$

Solution Steps

Least common multiple of 9 and 11 is 99. Convert \frac{8}{9} and \frac{4}{11} to fractions with denominator 99.

$$\frac{88}{99}+\frac{36}{99}+\frac{1}{9}$$

Since \frac{88}{99} and \frac{36}{99} have the same denominator, add them by adding their numerators.

$$\frac{88+36}{99}+\frac{1}{9}$$

Add 88 and 36 to get 124.

$$\frac{124}{99}+\frac{1}{9}$$

Least common multiple of 99 and 9 is 99. Convert \frac{124}{99} and \frac{1}{9} to fractions with denominator 99.

$$\frac{124}{99}+\frac{11}{99}$$

Since \frac{124}{99} and \frac{11}{99} have the same denominator, add them by adding their numerators.

$$\frac{124+11}{99}$$

Add 124 and 11 to get 135.

$$\frac{135}{99}$$

Reduce the fraction \frac{135}{99} to lowest terms by extracting and canceling out 9.

$$\frac{15}{11}$$

Factor

$$\frac{3 \cdot 5}{11} = 1\frac{4}{11} = 1.3636363636363635$$