Solve 12/22<17/33<28/55

$$\frac { 12 } { 22 } < \frac { 17 } { 33 } < \frac { 28 } { 55 }$$

Verify

Solution Steps

Reduce the fraction \frac{12}{22} to lowest terms by extracting and canceling out 2.

$$\frac{6}{11}<\frac{17}{33}\text{ and }\frac{17}{33}<\frac{28}{55}$$

Least common multiple of 11 and 33 is 33. Convert \frac{6}{11} and \frac{17}{33} to fractions with denominator 33.

$$\frac{18}{33}<\frac{17}{33}\text{ and }\frac{17}{33}<\frac{28}{55}$$

Compare \frac{18}{33} and \frac{17}{33}.

$$\text{false}\text{ and }\frac{17}{33}<\frac{28}{55}$$

Least common multiple of 33 and 55 is 165. Convert \frac{17}{33} and \frac{28}{55} to fractions with denominator 165.

$$\text{false}\text{ and }\frac{85}{165}<\frac{84}{165}$$

Compare \frac{85}{165} and \frac{84}{165}.

$$\text{false}\text{ and }\text{false}$$

The conjunction of \text{false} and \text{false} is \text{false}.

$$\text{false}$$