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Will uses [tex]\frac{3}{4}[/tex] cup of olive oil to make 3 batches of salad dressing. How much oil does Will use for one batch of salad dressing?

Answer :

To find out how much olive oil Will uses for one batch of salad dressing, we need to divide the total amount of olive oil by the number of batches.

Here's how we can solve it step-by-step:

1. Will uses [tex]\(\frac{3}{4}\)[/tex] cup of olive oil for 3 batches in total.
2. To find out how much oil is used per batch, we divide the total amount of olive oil by the number of batches.
3. So, we calculate:
[tex]\[
\text{Amount of oil per batch} = \frac{3}{4} \div 3
\][/tex]

4. Dividing a fraction by a whole number involves multiplying the fraction by the reciprocal of the whole number. The reciprocal of 3 is [tex]\(\frac{1}{3}\)[/tex].

5. So, we multiply:
[tex]\[
\frac{3}{4} \times \frac{1}{3} = \frac{3 \times 1}{4 \times 3} = \frac{3}{12}
\][/tex]

6. Simplify [tex]\(\frac{3}{12}\)[/tex]:
[tex]\[
\frac{3}{12} = \frac{1}{4}
\][/tex]

Therefore, Will uses [tex]\(\frac{1}{4}\)[/tex] cup of olive oil for one batch of salad dressing. This can be expressed as 0.25 cups.

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