Answer:
3 and 1/2 half-cups
Step-by-step explanation:
We are asked to find the number of half-cups that will equal 1 3/4 cups.
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Let the desired number be represented by n. Then we require ...
n × 1/2 = 1 3/4 . . . . some number of 1/2-cups will give 1 3/4 cups
Using a common denominator, we have ...
n × 2/4 = 7/4
Multiplying by the inverse of the coefficient of n gives ...
n × 2/4 × 4/2 = 7/4 × 4/2
n = 7/2 = 3 1/2 . . . . . simplify
That is, Donna can measure 1 3/4 cups of sugar by using her 1/2-cup measure 3 times, and filling it half-full for the final 1/4 cup she needs.
She needs 3 1/2 half-cups to get the correct amount.
