To find out how many minutes Emma spent studying, we first convert Sarah's study time into an improper fraction:
- Sarah studied for \( 35 \frac{1}{2} \) minutes, which is \( 35 + \frac{1}{2} = \frac{70}{2} + \frac{1}{2} = \frac{71}{2} \) minutes.
Now, we calculate how long Emma studied, which is \( 1 \frac{1}{2} \) times Sarah's study time:
- \( 1 \frac{1}{2} = \frac{3}{2} \).
Now we multiply:
\[ \text{Emma's study time} = \frac{3}{2} \times \frac{71}{2} = \frac{3 \times 71}{2 \times 2} = \frac{213}{4} \text{ minutes}. \]
Next, we convert \( \frac{213}{4} \) into a mixed number:
- Divide \( 213 \) by \( 4 \):
- \( 213 \div 4 = 53 \) with a remainder of \( 1 \).
So, \( \frac{213}{4} = 53 \frac{1}{4} \).
Therefore, Emma spent \( 53 \frac{1}{4} \) minutes studying, which matches the first response option.
Answer: 53 1/4 minutes
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