Question

3andLet's compare38ロ<ロ>=First, write the fractions with the same denominator.х?138-138Then, use <, = , or > to compare the fractions.m 100

Answer 1

To rewrite the fractions as fractions with the same denominator we have to determine the minimum number greater than 8 and 3 that can be exactly divided by 8 and 3 (LCM). Notice that the LCM of 8 and 3 is

`24=8\cdot3.`

Because:

`\begin{gathered} 8=2\cdot2\cdot2, \\ 3=3. \end{gathered}`

Therefore, we rewrite the given fractions as:

`\begin{gathered} (1)/(3)=(8)/(24), \\ (3)/(8)=(9)/(24)\text{.} \end{gathered}`

From the above fractions, we get that:

`(3)/(8)>(1)/(3)\text{.}`

Answer:

a)

`\begin{gathered} (1)/(3)=(8)/(24), \\ (3)/(8)=(9)/(24)\text{.} \end{gathered}`

b)

`(1)/(3)<(3)/(8)\text{.}`