#### Answer

$19\dfrac{5}{8}$

#### Work Step by Step

The given decimal is nineteen and six hundred twenty five thousandths.
Thus, to convert it to a mixed number, 19 will be the whole number part.
To convert the decimal part to a fraction, write $625$ as the numerator and write $1000$ as its denominator.
Thus,
$19.625 = 19\dfrac{625}{1000}$
Simplify the fraction by cancelling the common factor $125$ to obtain:
$\require{cancel}
=19\dfrac{125(5)}{125(8)}
\\=19\dfrac{\cancel{125}(5)}{\cancel{125}(8)}
\\=19\dfrac{5}{8}$