Hello Jonecia,
There are a few ways to think of this question, here is an example...
'of' is a division word and fractions are a more precise way to represent a number (instead of a decimal).
If a family has a pie to share, they cut it into 6 pieces and eat 4,
then they have eaten 4 of 6 pieces or 4/6.
If we wrote this as a ratio (eaten to noneaten pie) we would write 4 to 6.
Let's try a similar example to your question.
Write this ratio as a fraction in lowest terms; 322 days of 112 days,
$322 = 2 \times 7 \times 23$ and $112 = 2^4 \times 7$ and hence
\[\frac{322}{112} = \frac{2 \times 7 \times 23}{2^4 \times 7} = \frac{23}{2^3} = \frac{23}{8}.\]
Good luck.
Melanie
