Answer :

To measure 3/4 cup, let's analyze the given options and determine which measuring equipment you'll need:

1. 1 cup: Measuring 3/4 cup with a 1 cup measure is not possible unless you have other measuring tools to remove the extra amount. If you fill a 1 cup measure, you will have too much (1 cup instead of 3/4 cup).

2. 1/8 cup: Using just a 1/8 cup measure would require combining several measurements. To get to 3/4 cup, you would need six 1/8 cup measures (since [tex]\( \frac{6}{8} = \frac{3}{4} \)[/tex]), which is cumbersome and not efficient.

3. 1/2 cup and 1/4 cup: This option provides a straightforward and accurate way to measure 3/4 cup. You can measure out 1/2 cup and then add a 1/4 cup. Adding these two measurements together, [tex]\( \frac{1}{2} + \frac{1}{4} \)[/tex], results in 3/4 cup.

4. 1/2 cup: Using just a 1/2 cup measure will give you less than needed since 1/2 cup is equivalent to 0.5 cups and does not equal 3/4 cup.

Therefore, to accurately measure 3/4 cup, the most efficient and straightforward approach would be to use a 1/2 cup and a 1/4 cup together. This combination allows you to measure the exact amount needed without any extra steps or adjustments.

So, the correct option is:

1/2 cup and 1/4 cup.