Solve 34/3-2.75div11

$$\frac{ 34 }{ 3 } -2.75 \div 11$$

Evaluate

$$\frac{133}{12}\approx 11.083333333$$

Solution Steps

Expand \frac{2.75}{11} by multiplying both numerator and the denominator by 100.

$$\frac{34}{3}-\frac{275}{1100}$$

Reduce the fraction \frac{275}{1100} to lowest terms by extracting and canceling out 275.

$$\frac{34}{3}-\frac{1}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{34}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{136}{12}-\frac{3}{12}$$

Since \frac{136}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{136-3}{12}$$

Subtract 3 from 136 to get 133.

$$\frac{133}{12}$$

Factor

$$\frac{7 \cdot 19}{3 \cdot 2 ^ {2}} = 11\frac{1}{12} = 11.083333333333334$$