Question

Please help it make sense!!! rewrite 5/7 and 8/11 so that they can have a common denominator Then use < , = , > to order 5/7 and 8/11

Answer 1

Multiply 7 by 11 and 11 by 7:

`\begin{gathered} (5)/(7)\cdot(1)/(11)=(5)/(77) \\ (8)/(11)\cdot(1)/(7)=(8)/(77) \end{gathered}`

As you can see if you have two number divide for the same amount, the greater will be the one with the largest numerator, For example:

`\begin{gathered} (8)/(4)=2 \\ (12)/(4)=3 \end{gathered}`

Therefore, we can conclude:

`(5)/(7)<(8)/(7)`