To determine how many sets of [tex]\(\frac{2}{12}\)[/tex] are in [tex]\(\frac{9}{12}\)[/tex], we start by visualizing the fractions in terms of their numerator and denominator components.
To better understand this, let's break it down step-by-step:
1. Understanding the Fractions:
[tex]\(\frac{9}{12}\)[/tex] means we have 9 parts out of a total of 12 equal parts. Likewise, [tex]\(\frac{2}{12}\)[/tex] means we have 2 parts out of a total of 12 equal parts.
2. Grouping the Numerator:
We need to see how many times 2 can fit into 9. This is effectively dividing the numerator of the first fraction by the numerator of the second fraction.
[tex]\[
\frac{9}{12} \div \frac{2}{12} \implies \frac{9}{2}
\][/tex]
3. Calculating the Result:
Perform the division of the numerators:
[tex]\[
\frac{9}{2} = 4.5
\][/tex]
4. Interpreting the Result:
The fraction [tex]\(\frac{9}{12}\)[/tex] contains 4 full sets of [tex]\(\frac{2}{12}\)[/tex] and an additional half of a set.
Thus, there are 4.5 sets of [tex]\(\frac{2}{12}\)[/tex] in [tex]\(\frac{9}{12}\)[/tex].
To put it simply, dividing [tex]\(\frac{9}{12}\)[/tex] by [tex]\(\frac{2}{12}\)[/tex] indicates that there are 4.5 groups of [tex]\(\frac{2}{12}\)[/tex] in [tex]\(\frac{9}{12}\)[/tex].
