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To solve the problem, we need to determine what fraction of the recipe Frank can make if he has only ½ cup of ketchup when the recipe requires ¾ of a cup. Let's break down the solution step by step.

### Problem Restatement:
- Frank's recipe requires **¾ cup** of ketchup.
- Frank only has **½ cup** of ketchup.
- We need to figure out what fraction of the recipe he can make based on the ketchup he has.

### Solution:
To determine what fraction of the recipe Frank can make, we can set up a ratio comparing the amount of ketchup Frank has to the amount required:

\[
\text{Fraction of recipe} = \frac{\text{Amount Frank has}}{\text{Amount recipe requires}} = \frac{1/2}{3/4}
\]

To divide fractions, we multiply by the reciprocal of the divisor:

\[
\frac{1/2}{3/4} = \frac{1/2} \times \frac{4}{3} = \frac{1 \times 4}{2 \times 3} = \frac{4}{6} = \frac{2}{3}
\]

Therefore, Frank can make **2/3** of the recipe.

### Math Drawing Suggestion:
To visually represent this, imagine dividing a rectangle (representing 1 full cup of ketchup) into four equal parts (each representing ¼ cup). The recipe needs ¾ of the rectangle (3 parts), but Frank only has 2 parts (½ of the cup). The drawing would show that 2 of the 3 needed parts are available, which equals ⅔ of the recipe.

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Do you need further details on how to draw the visual representation? Here are some related questions to expand understanding:

1. How do you represent fractions of a whole in a drawing?
2. Can we solve similar problems with different quantities of ingredients?
3. What if Frank had 1 cup of ketchup? What fraction of the recipe would that be?
4. How can visualizing fractions help in solving ratio problems?
5. How do you compare two fractions with different denominators?

**Tip:** When dividing fractions, always remember to multiply by the reciprocal of the divisor!

Frank is making a recipe that calls for 3/4 of a cup of ketchup. Frank only has 1/2 of a cup of ketchup. If Frank has enough of the other ingredients, what fraction of the recipe can Frank make?

Learn how to solve the problem where Frank has 1/2 a cup of ketchup but needs 3/4 for a recipe. This detailed guide walks through dividing fractions and finding what fraction of the recipe Frank can make.

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