Solve 1/4<7/9<5/3

$$\frac{ 1 }{ 4 } < \frac{ 7 }{ 9 } < \frac{ 5 }{ 3 }$$

Verify

Solution Steps

Least common multiple of 4 and 9 is 36. Convert \frac{1}{4} and \frac{7}{9} to fractions with denominator 36.

$$\frac{9}{36}<\frac{28}{36}\text{ and }\frac{7}{9}<\frac{5}{3}$$

Compare \frac{9}{36} and \frac{28}{36}.

$$\text{true}\text{ and }\frac{7}{9}<\frac{5}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{7}{9} and \frac{5}{3} to fractions with denominator 9.

$$\text{true}\text{ and }\frac{7}{9}<\frac{15}{9}$$

Compare \frac{7}{9} and \frac{15}{9}.

$$\text{true}\text{ and }\text{true}$$

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

$$\text{true}$$