Question

9Let's compare3and410First, write the fractions with the same denominator.ロ<ロロロ|D=093Х5?.104Then, use , = , or > to compare the fractions.9310

Answer 1

Now we are comparing

`(9)/(10),(3)/(4)`

To write them in the same denominator, we find the LCM of their denominator. That is we find the LCM of 10 and 4. This is

`10*4=40`

So we have

`\begin{gathered} (9)/(10),(3)/(4) \\ 40/10=4\text{ and 4 }*9=36 \\ 40/4=10\text{ and 10 }*3=30 \\ we\text{ have } \\ =\frac{36\text{ and }30\text{ }}{40} \end{gathered}`

Hence

`(9)/(10)=(36)/(40)`

and

`(3)/(4)=(30)/(40)`

So we can see that

`(36)/(40)>(30)/(40)`

Hence the answer is

`(9)/(10)>(3)/(4)`