To find Fabian's rate of reading in books per month, we need to divide the number of books he read by the time he took to read them.
Fabian read 19 books in \( \frac{19}{6} \) months.
The rate of reading in books per month can be calculated as follows:
\[ \text{Rate} = \frac{\text{Number of books}}{\text{Number of months}} = \frac{19 \text{ books}}{\frac{19}{6} \text{ months}} \]
To perform the division, we can multiply by the reciprocal of the denominator:
\[ \text{Rate} = 19 \times \frac{6}{19} \]
The \( 19 \) in the numerator and denominator cancels out:
\[ \text{Rate} = 6 \text{ books per month} \]
Therefore, Fabian's reading rate is 6 books per month.