To make half of the recipe, you need to divide the quantities of flour and sugar by 2.

For the flour: $\frac{2}{3} \div 2 = \frac{2}{3} \times \frac{1}{2} = \frac{2}{6} = \frac{1}{3} \, \text{cup of flour}.$

For the sugar: $\frac{3}{4} \div 2 = \frac{3}{4} \times \frac{1}{2} = \frac{3}{8} \, \text{cup of sugar}.$

So, for half of the recipe, you will need:

• 1/3 cup of flour
• 3/8 cup of sugar

Would you like further explanation or details?

Here are 5 related questions to deepen your understanding:

1. How would you adjust the measurements if you wanted to make a quarter of the recipe?
2. What is 3/8 of a cup in decimal form?
3. How do you multiply two fractions together?
4. How can you express 1/3 of a cup using teaspoons or tablespoons?
5. How would you approach scaling a recipe for 1.5 times the original amount?

Tip: When dividing fractions, multiply by the reciprocal of the divisor!