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:

$\begin{gathered} \frac{1}{3}=\frac{8}{24}, \\ \frac{3}{8}=\frac{9}{24}\text{.} \end{gathered}$

From the above fractions, we get that:

$\frac{3}{8}>\frac{1}{3}\text{.}$

Answer:

a)

$\begin{gathered} \frac{1}{3}=\frac{8}{24}, \\ \frac{3}{8}=\frac{9}{24}\text{.} \end{gathered}$

b)

$\frac{1}{3}<\frac{3}{8}\text{.}$