To determine how many minutes Emma spent studying, we first need to find out how long Sarah studied in numerical form and then multiply that by 1 1/2.
Sarah's study time is 35 1/2 minutes, which can be converted to an improper fraction:
\[ 35 \frac{1}{2} = \frac{71}{2} \text{ minutes} \]
Next, we multiply this by 1 1/2 (or \( \frac{3}{2} \)):
\[ \text{Emma's time} = \frac{71}{2} \times \frac{3}{2} \]
Multiplying the fractions:
\[ \text{Emma's time} = \frac{71 \times 3}{2 \times 2} = \frac{213}{4} \]
Now, we divide to convert it back to a mixed number:
\[ \frac{213}{4} = 53 \frac{1}{4} \text{ minutes} \]
Therefore, Emma spent:
53 1/4 minutes studying.
5 answers