To determine how many times [tex]\(\frac{3}{4}\)[/tex] fits into 15, we can use the following steps:
1. Understand the problem: We need to find out how many [tex]\(\frac{3}{4}\)[/tex] portions are equivalent to 15.
2. Set up the division: We divide 15 by [tex]\(\frac{3}{4}\)[/tex].
[tex]\[
\text{Number of } \left(\frac{3}{4}\right) \text{ in 15} = \frac{15}{\frac{3}{4}}
\][/tex]
3. Simplify the division problem:
Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of [tex]\(\frac{3}{4}\)[/tex] is [tex]\(\frac{4}{3}\)[/tex].
[tex]\[
\frac{15}{\frac{3}{4}} = 15 \times \frac{4}{3}
\][/tex]
4. Perform the multiplication:
[tex]\[
15 \times \frac{4}{3} = \frac{15 \times 4}{3} = \frac{60}{3}
\][/tex]
5. Simplify the fraction:
[tex]\[
\frac{60}{3} = 20
\][/tex]
Therefore, there are [tex]\(\boxed{20}\)[/tex] [tex]\(\frac{3}{4}\)[/tex]'s in 15.
