Question

Compare the following rational numbers and Identify the correct option.

$\frac{3}{5}$___$\frac{2}{7}$.

• A. >
• B. <
• C. =
• D. None of the above

Answer 1

The correct option is A >

To compare two rational numbers, we first make convert each of them to equivalent rational numbers by making their denominators equal, and then we compare their numerators.
LCM of the denominators 5 and 7 is 35
$\therefore \frac{3\times 7}{5\times 7}=\frac{21}{35}$ and $\frac{2\times 5}{7\times 5}=\frac{10}{35}$
Comparing $\frac{21}{35}$ and $\frac{10}{35}$, we see that $\frac{21}{35}>\frac{10}{35}$
Hence, $\frac{3}{5}>\frac{2}{7}$