#### Answer

$\dfrac{9}{20}$

#### Work Step by Step

The given decimal is forty-six hundredths.
Thus, to convert it to fraction, remove the decimal point and write $45$ as the numerator and write $100$ as its denominator.
$0.45 = \dfrac{45}{100}$
Simplify the fraction by cancelling the common factor $5$ to obtain:
$\require{cancel}
=\dfrac{9(5)}{20(5)}
\\=\dfrac{9\cancel{(5)}}{20\cancel{(5)}}
\\=\dfrac{9}{20}$