Question

58Let's compareand9colaD=0First, write the fractions with the same denominator.x?85ola:-=96LJILThen, use <, = , of > to compare the fractions.5.

Answer 1

We are to compare

`\begin{gathered} (8)/(9) \\ \text{and} \\ (5)/(6) \end{gathered}`

First LCM of 9 and 6 is 18

`\begin{gathered} (8)/(9)=(8)/(9)*1 \\ (8)/(9)=(8)/(9)*(2)/(2) \\ (8)/(9)=(16)/(18) \end{gathered}`

Similarly

`\begin{gathered} (5)/(6)=(5)/(6)*1 \\ (5)/(6)=(5)/(6)*(3)/(3) \\ (5)/(6)=(15)/(18) \end{gathered}`

Now

`(8)/(9)=(16)/(18)>(15)/(18)=(5)/(6)`

Therefore,

`(8)/(9)>(5)/(6)`