To determine how many groups of [tex]\(\frac{9}{2}\)[/tex] fit into 1, we need to divide 1 by [tex]\(\frac{9}{2}\)[/tex]:
[tex]\[
1 \div \frac{9}{2}
\][/tex]
Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of [tex]\(\frac{9}{2}\)[/tex] is [tex]\(\frac{2}{9}\)[/tex]. Therefore, we have:
[tex]\[
1 \div \frac{9}{2} = 1 \times \frac{2}{9} = \frac{2}{9}
\][/tex]
Thus, the number of groups of [tex]\(\frac{9}{2}\)[/tex] in 1 is:
[tex]\[
0.2222222222222222
\][/tex]
So, there are [tex]\(\boxed{0.2222222222222222}\)[/tex] groups of [tex]\(\frac{9}{2}\)[/tex] in 1.
