A recipe requires 1/4 cup of oil for every 2/3 cup of water.  How much oil (in cups) is needed per cup of water.

To solve this, we need to determine how much oil is needed per 1 cup of water, given the ratio of 1/4 cup of oil for every 2/3 cup of water.

### Step-by-step solution:

1. The given ratio is \( \frac{1}{4} \, \text{cup of oil} \) for \( \frac{2}{3} \, \text{cup of water} \).
2. To find how much oil is needed per 1 cup of water, divide the amount of oil by the amount of water:
   
   \[
   \text{Oil per cup of water} = \frac{\frac{1}{4} \, \text{cup of oil}}{\frac{2}{3} \, \text{cup of water}} 
   \]

3. To divide fractions, multiply by the reciprocal of the denominator:

   \[
   \frac{1}{4} \times \frac{3}{2} = \frac{1 \times 3}{4 \times 2} = \frac{3}{8}
   \]

So, \( \frac{3}{8} \, \text{cup of oil} \) is needed per cup of water.

Would you like further details or have any questions?

Here are 5 related questions:
1. How much oil is needed for 1.5 cups of water?
2. If you have 2 cups of water, how much oil will you use?
3. How would you adjust the oil if you double the water in the recipe?
4. How much water is needed if you have 1 cup of oil?
5. What is the total ratio of oil to water in the recipe?

**Tip:** When working with ratios in recipes, always adjust both parts of the ratio proportionally!

A recipe requires 1/4 cup of oil for every 2/3 cup of water. How much oil (in cups) is needed per cup of water?

Learn how to calculate the amount of oil needed per 1 cup of water based on a recipe ratio of 1/4 cup of oil for every 2/3 cup of water. Understand key concepts like ratios and fraction division with a detailed step-by-step solution. Suitable for students in Grades 6-8.

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