Respuesta :

To order fractions you have to look at their denominators, the grater it is, the smaller the fraction

So, for example

[tex]\begin{gathered} \frac{1}{2}>\frac{1}{4}\text{ because 4>2} \\ \text{and} \\ \frac{1}{3}>\frac{1}{5}\text{ because 5>3} \end{gathered}[/tex]

Next is when the numerator of the fraction has a number greater than 1, this means that it will be a higher number but still smaller than the integer.

For example

[tex]\frac{3}{4}>\frac{1}{4}\text{because the numerator 3 is greater than 1}[/tex]

If the numerator is equal to the denominator, this means that the fraction is equal to a whole, for example:

[tex]\frac{5}{5}=1[/tex]

If the numerator is greater than the denominator, this means that the fraction is greater than one, for example

[tex]\begin{gathered} \text{If }\frac{3}{3}=1 \\ \text{Then }\frac{5}{3}>1 \end{gathered}[/tex]

With all of this in mind, the greater values will be the "whole" numbers 3 and 1, next order the fractions, starting from the greaters denominators because those fractions correspond to the smaller values:

[tex]\frac{1}{15}<\frac{1}{5}<\frac{3}{5}<\frac{1}{3}<1<3[/tex]