Answer
No
Work Step by Step
$\frac{4}{13}$ and $\frac{5}{18}$ are equivalent?
To check if two fractions are equivalent you use cross product
$\frac{a}{b} \frac{c}{d}$
two fraction are equivalent if $a\times d=b\times c$
in this case we have $\frac{4}{13}$ and $\frac{5}{18}$ and we apply the above formula and we have
$4\times 18\ne13\times5$
Since the left side is not equal to the right side the two fraction aren't equivalent
