Solve 89/11-34/5-27/11

$$8 \frac{ 9 }{ 11 } -3 \frac{ 4 }{ 5 } -2 \frac{ 7 }{ 11 }$$

Evaluate

$$\frac{131}{55}\approx 2.381818182$$

Solution Steps

Multiply 8 and 11 to get 88.

$$\frac{88+9}{11}-\frac{3\times 5+4}{5}-\frac{2\times 11+7}{11}$$

Add 88 and 9 to get 97.

$$\frac{97}{11}-\frac{3\times 5+4}{5}-\frac{2\times 11+7}{11}$$

Multiply 3 and 5 to get 15.

$$\frac{97}{11}-\frac{15+4}{5}-\frac{2\times 11+7}{11}$$

Add 15 and 4 to get 19.

$$\frac{97}{11}-\frac{19}{5}-\frac{2\times 11+7}{11}$$

Least common multiple of 11 and 5 is 55. Convert \frac{97}{11} and \frac{19}{5} to fractions with denominator 55.

$$\frac{485}{55}-\frac{209}{55}-\frac{2\times 11+7}{11}$$

Since \frac{485}{55} and \frac{209}{55} have the same denominator, subtract them by subtracting their numerators.

$$\frac{485-209}{55}-\frac{2\times 11+7}{11}$$

Subtract 209 from 485 to get 276.

$$\frac{276}{55}-\frac{2\times 11+7}{11}$$

Multiply 2 and 11 to get 22.

$$\frac{276}{55}-\frac{22+7}{11}$$

Add 22 and 7 to get 29.

$$\frac{276}{55}-\frac{29}{11}$$

Least common multiple of 55 and 11 is 55. Convert \frac{276}{55} and \frac{29}{11} to fractions with denominator 55.

$$\frac{276}{55}-\frac{145}{55}$$

Since \frac{276}{55} and \frac{145}{55} have the same denominator, subtract them by subtracting their numerators.

$$\frac{276-145}{55}$$

Subtract 145 from 276 to get 131.

$$\frac{131}{55}$$

Factor

$$\frac{131}{5 \cdot 11} = 2\frac{21}{55} = 2.381818181818182$$