Question

3Let's compare2and31almロロ>ロ=ロFirst, write the fractions with the same denominator.XХ5?32-3 -53Then, use < = , or > to compare the fractions.32

Answer 1

Multiplying 3/5 by 3/3, we get:

`(3)/(5)=(3)/(5)\cdot(3)/(3)=(3\cdot3)/(5\cdot3)=(9)/(15)`

Multiplying 2/3 by 5/5, we get:

`(2)/(3)=(2)/(3)\cdot(5)/(5)=(2\cdot5)/(3\cdot5)=(10)/(15)`

Now, both fractions have the same denominator. Comparing them:

`\begin{gathered} (9)/(15)<(10)/(15)\text{ (because 9 is less than 10)} \\ \text{ Or what is the same:} \\ (3)/(5)<(2)/(3) \end{gathered}`