Use the number line to answer the following question.

1. How many groups of [tex] \frac{9}{2} [/tex] are in 1?

[tex] \square [/tex] groups



Answer :

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.