Answer :
Sure! Let's figure out how much olive oil Will uses for one batch of salad dressing step by step.
1. Understand the Problem: Will uses [tex]\(\frac{3}{4}\)[/tex] cup of olive oil for 3 batches of salad dressing. We need to find out how much olive oil is used for just one batch.
2. Set Up the Equation: Since [tex]\(\frac{3}{4}\)[/tex] cup is used for 3 batches, to find the amount used for one batch, we divide the total amount of oil by the number of batches.
3. Perform the Division:
- Total oil used for 3 batches = [tex]\(\frac{3}{4}\)[/tex] cup.
- Number of batches = 3.
To find the oil for one batch, divide the total oil by the number of batches:
[tex]\[
\text{Oil per batch} = \frac{\frac{3}{4}}{3}
\][/tex]
4. Simplify the Calculation:
- Dividing a fraction by a whole number is the same as multiplying the fraction by the reciprocal of the whole number.
- The reciprocal of 3 is [tex]\(\frac{1}{3}\)[/tex].
[tex]\[
\frac{3}{4} \times \frac{1}{3} = \frac{3 \times 1}{4 \times 3} = \frac{3}{12} = \frac{1}{4}
\][/tex]
5. Conclusion: Will uses [tex]\(\frac{1}{4}\)[/tex] cup of olive oil for one batch of salad dressing.
This means for one batch, [tex]\(\frac{1}{4}\)[/tex] cup of olive oil is needed.
1. Understand the Problem: Will uses [tex]\(\frac{3}{4}\)[/tex] cup of olive oil for 3 batches of salad dressing. We need to find out how much olive oil is used for just one batch.
2. Set Up the Equation: Since [tex]\(\frac{3}{4}\)[/tex] cup is used for 3 batches, to find the amount used for one batch, we divide the total amount of oil by the number of batches.
3. Perform the Division:
- Total oil used for 3 batches = [tex]\(\frac{3}{4}\)[/tex] cup.
- Number of batches = 3.
To find the oil for one batch, divide the total oil by the number of batches:
[tex]\[
\text{Oil per batch} = \frac{\frac{3}{4}}{3}
\][/tex]
4. Simplify the Calculation:
- Dividing a fraction by a whole number is the same as multiplying the fraction by the reciprocal of the whole number.
- The reciprocal of 3 is [tex]\(\frac{1}{3}\)[/tex].
[tex]\[
\frac{3}{4} \times \frac{1}{3} = \frac{3 \times 1}{4 \times 3} = \frac{3}{12} = \frac{1}{4}
\][/tex]
5. Conclusion: Will uses [tex]\(\frac{1}{4}\)[/tex] cup of olive oil for one batch of salad dressing.
This means for one batch, [tex]\(\frac{1}{4}\)[/tex] cup of olive oil is needed.
