To compare how much more milk Sophie used than water, you need to find a common denominator for the fractions \( \frac{3}{4} \) (milk) and \( \frac{1}{2} \) (water).
The common denominator for 4 and 2 is 4.
Now, convert \( \frac{1}{2} \) to a fraction with a denominator of 4: \[ \frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4} \]
Now, you can compare the amounts:
- Milk: \( \frac{3}{4} \)
- Water: \( \frac{2}{4} \)
To find out how much more milk she used than water: \[ \frac{3}{4} - \frac{2}{4} = \frac{1}{4} \]
Sophie used \( \frac{1}{4} \) more milk than water.