Question

$\frac{3}{5}$ $\frac{2}{3}$.

• A. $<$
• B. $>$
• C. =

Answer 1

The correct option is A $<$

$\frac{3}{5}$ and $\frac{2}{3}$ have different denominators (5 and 3). In this case, first we need to find the least common multiple (L.C.M.) of 5 and 3, which is 15.
Thus, we have $\frac{3}{5}$ = $\frac{9}{15}$ and $\frac{2}{3}$ = $\frac{10}{15}$.
Now, since 9 $<$ 10, we have $\frac{3}{5}$ $<$ $\frac{2}{3}$.