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:

$\frac{3}{5}=\frac{3}{5}\cdot\frac{3}{3}=\frac{3\cdot3}{5\cdot3}=\frac{9}{15}$

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

$\frac{2}{3}=\frac{2}{3}\cdot\frac{5}{5}=\frac{2\cdot5}{3\cdot5}=\frac{10}{15}$

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

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