To determine how many [tex]\(\frac{1}{4}\)[/tex]-cup measurements Julie needs to measure out [tex]\(2 \frac{2}{4}\)[/tex] cups of raisins, we can follow the steps below:
1. Convert the mixed number to an improper fraction or a decimal:
The given amount in mixed-number form is [tex]\(2 \frac{2}{4}\)[/tex].
To convert this to a decimal form:
[tex]\[
2 \frac{2}{4} = 2 + \frac{2}{4}
\][/tex]
Simplify [tex]\(\frac{2}{4}\)[/tex]:
[tex]\[
\frac{2}{4} = 0.5
\][/tex]
Thus:
[tex]\[
2 + 0.5 = 2.5
\][/tex]
Therefore, [tex]\(2 \frac{2}{4} = 2.5\)[/tex] cups.
2. Determine the size of each measuring cup:
Julie’s measuring cup holds [tex]\(\frac{1}{4}\)[/tex] cup.
3. Calculate the number of [tex]\(\frac{1}{4}\)[/tex]-cup measurements needed:
To find how many [tex]\(\frac{1}{4}\)[/tex]-cup measurements make up 2.5 cups, divide 2.5 by [tex]\(\frac{1}{4}\)[/tex]:
[tex]\[
\frac{2.5}{\frac{1}{4}}
\][/tex]
Dividing by a fraction is the same as multiplying by its reciprocal:
[tex]\[
2.5 \times 4 = 10
\][/tex]
Therefore, Julie needs to measure out 10 [tex]\(\frac{1}{4}\)[/tex]-cup measurements to get 2.5 cups of raisins.
So, Julie needs 10 [tex]\(\frac{1}{4}\)[/tex] cups to measure out [tex]\(2 \frac{2}{4}\)[/tex] cups of raisins.
