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A recipe calls for [tex]$2 \frac{2}{4}$[/tex] cups of raisins, but Julie only has a [tex]$\frac{1}{4}$[/tex]-cup measuring cup. How many [tex][tex]$\frac{1}{4}$[/tex][/tex] cups does Julie need to measure out [tex]$2 \frac{2}{4}$[/tex] cups of raisins?

Sagot :

GinnyAnswer
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.
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