To find out how much more milk Theo drank with lunch than with dinner, we need to subtract the amount of milk he drank at dinner from the amount he drank at lunch.
Theo drank:
- Lunch: \( \frac{5}{8} \) quarts
- Dinner: \( \frac{1}{4} \) quarts
First, we need to convert \( \frac{1}{4} \) into eighths so that we can subtract the two fractions more easily.
\( \frac{1}{4} = \frac{2}{8} \) (since \( 1/4 \times 2/2 = 2/8 \))
Now we can subtract:
\[ \frac{5}{8} - \frac{2}{8} = \frac{3}{8} \]
Now, we can estimate \( \frac{3}{8} \). Comparing it to the provided options:
- \( 0 \) qt
- \( \frac{1}{2} \) qt (which is equivalent to \( \frac{4}{8} \))
- \( 1 \) qt
The most accurate estimate for how much more milk Theo drank with lunch than with dinner \( \frac{3}{8} \) is closer to \( \frac{1}{2} \) qt than to \( 0 \) qt or \( 1 \) qt.
Thus, the most accurate estimate is:
\( \frac{1}{2} \) qt
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