Question

Compare the given fractions and specify the correct operator

$\frac{9}{16}$ ___ $\frac{13}{5}$

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

Answer 1

The correct option is C $<$

To compare fractions, make the denominators equal

LCM of denominators $16$ and $5$ is $80$

$\therefore \frac{9}{16}\times \frac{5}{5}$ $=\frac{45}{80}$ and $\frac{13}{5}\times \frac{16}{16}$ $=\frac{208}{80}$

By making denominators equal, we find that $208$ is greater than $45$

$\therefore \frac{9}{16}<\frac{13}{5}$.