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Answer
There are 15 fifteenths in a whole.
Solution
To determine how many 15ths are in a whole, we can set up the problem as follows:
1. A whole can be represented as 1.
2. We want to find out how many times \( \frac{1}{15} \) fits into 1.
This can be calculated by dividing 1 by \( \frac{1}{15} \):
\[
\text{Number of 15ths in a whole} = 1 \div \frac{1}{15}
\]
Dividing by a fraction is the same as multiplying by its reciprocal:
\[
1 \div \frac{1}{15} = 1 \times 15
\]
Now, let's calculate this:
\[
1 \times 15 = 15
\]
Thus, there are 15 fifteenths in a whole.
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Simplify this solution Extra Insights
A whole can be divided into 15 equal parts, and each part represents 1/15th. So, if you take all 15 parts together, you get one whole! Think of it like having a pizza sliced into 15 tiny pieces—if you eat all the slices, you've consumed the whole pizza! Now, if you're often cutting things into 15ths, it might be helpful to keep in mind that fractions can be simplified too. If you're serving up cake, for instance, and notice guests around the table don’t want exactly 1/15th, try simplifying the portions to 1/3 or 1/5 depending on the appetites! Keep an eye out for how many pieces go on each plate—no one wants to get the smallest slice!
