Question

Please help First rewrite 5/7 (in fraction form) and 8/11 (in fraction form so that they have a common denominator then use <,=,> to order 5/7 and 8/11

Answer 1

In order to calculate the common denominator, we need to calculate the least common multiple (LCM) between the denominators.

Since both values (7 and 11) are prime numbers, the LCM is their product:

`7\cdot11=77`

Then we have the following operations to rewrite each fraction:

`\begin{gathered} (5)/(7)=(5)/(7)\cdot(11)/(11)=(55)/(77) \\ \\ (8)/(11)=(8)/(11)\cdot(7)/(7)=(56)/(77) \end{gathered}`

Since 56/77 is greater than 55/77, that means 5/7 is lesser than 8/11.