Question

First rewrite 4/11 and 2/5 so that they have a common

Answer 1

`(4)/(11)<(2)/(5)`

Step-by-step explanation

To rewrite the fractions so that they have a common denominator, multiply the first fraction by a fraction made of the denominator of the second fraction and vice versa.

For the first fraction:

`\begin{gathered} (4)/(11)=(4*5)/(11*5) \\ \\ (20)/(55) \end{gathered}`

and the second fraction:

`\begin{gathered} (2)/(5)=(2*11)/(5*11) \\ \\ (22)/(55) \end{gathered}`

To order the two fractions, check their numerators. Since the numerator of the second fraction is greater than the first:

`\begin{gathered} (20)/(55)<(22)/(55) \\ \\ (4)/(11)<(2)/(5) \end{gathered}`

That is the answer.