Answer :
To find out how much oil Will uses for one batch of salad dressing, we need to divide the total amount of olive oil by the number of batches he is making.
1. Understand the total amount used: Will uses [tex]\(\frac{3}{4}\)[/tex] cup of olive oil for 3 batches in total.
2. Determine the amount per batch: To find out how much oil is used in just one batch, divide the total amount of oil by the number of batches.
[tex]\[
\text{Oil per batch} = \frac{\frac{3}{4} \text{ cup}}{3}
\][/tex]
3. Divide the fractions: The division [tex]\(\frac{\frac{3}{4}}{3}\)[/tex] can be simplified by multiplying by the reciprocal of 3. That means:
[tex]\[
\frac{3}{4} \times \frac{1}{3}
\][/tex]
4. Calculate the result: Multiply the numerators and the denominators:
[tex]\[
\frac{3 \times 1}{4 \times 3} = \frac{3}{12}
\][/tex]
5. Simplify the fraction: [tex]\(\frac{3}{12}\)[/tex] simplifies to [tex]\(\frac{1}{4}\)[/tex] (because 3 is a common factor for both the numerator and the denominator).
Therefore, Will uses [tex]\(\frac{1}{4}\)[/tex] cup of olive oil for one batch of salad dressing.
1. Understand the total amount used: Will uses [tex]\(\frac{3}{4}\)[/tex] cup of olive oil for 3 batches in total.
2. Determine the amount per batch: To find out how much oil is used in just one batch, divide the total amount of oil by the number of batches.
[tex]\[
\text{Oil per batch} = \frac{\frac{3}{4} \text{ cup}}{3}
\][/tex]
3. Divide the fractions: The division [tex]\(\frac{\frac{3}{4}}{3}\)[/tex] can be simplified by multiplying by the reciprocal of 3. That means:
[tex]\[
\frac{3}{4} \times \frac{1}{3}
\][/tex]
4. Calculate the result: Multiply the numerators and the denominators:
[tex]\[
\frac{3 \times 1}{4 \times 3} = \frac{3}{12}
\][/tex]
5. Simplify the fraction: [tex]\(\frac{3}{12}\)[/tex] simplifies to [tex]\(\frac{1}{4}\)[/tex] (because 3 is a common factor for both the numerator and the denominator).
Therefore, Will uses [tex]\(\frac{1}{4}\)[/tex] cup of olive oil for one batch of salad dressing.
