Solve 9div11+8-12+92div9

$$9 \div 11 + 8 - 12 + 92 \div 9$$

Evaluate

$$\frac{697}{99}\approx 7.04040404$$

Solution Steps

Convert 8 to fraction \frac{88}{11}.

$$\frac{9}{11}+\frac{88}{11}-12+\frac{92}{9}$$

Since \frac{9}{11} and \frac{88}{11} have the same denominator, add them by adding their numerators.

$$\frac{9+88}{11}-12+\frac{92}{9}$$

Add 9 and 88 to get 97.

$$\frac{97}{11}-12+\frac{92}{9}$$

Convert 12 to fraction \frac{132}{11}.

$$\frac{97}{11}-\frac{132}{11}+\frac{92}{9}$$

Since \frac{97}{11} and \frac{132}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{97-132}{11}+\frac{92}{9}$$

Subtract 132 from 97 to get -35.

$$-\frac{35}{11}+\frac{92}{9}$$

Least common multiple of 11 and 9 is 99. Convert -\frac{35}{11} and \frac{92}{9} to fractions with denominator 99.

$$-\frac{315}{99}+\frac{1012}{99}$$

Since -\frac{315}{99} and \frac{1012}{99} have the same denominator, add them by adding their numerators.

$$\frac{-315+1012}{99}$$

Add -315 and 1012 to get 697.

$$\frac{697}{99}$$

Factor

$$\frac{17 \cdot 41}{3 ^ {2} \cdot 11} = 7\frac{4}{99} = 7.040404040404041$$