To find out how many minutes Emma spent studying, we first need to calculate how much time Sarah spent studying and then find 1 and 1/2 times that amount.
-
Sarah spent \( 35 \frac{1}{2} \) minutes studying. This can be converted to an improper fraction: \[ 35 \frac{1}{2} = \frac{71}{2} \text{ minutes} \]
-
Emma spent \( 1 \frac{1}{2} \) times that amount. We can express \( 1 \frac{1}{2} \) as: \[ 1 \frac{1}{2} = \frac{3}{2} \]
-
Now, we can calculate the time Emma spent studying: \[ \text{Emma's studying time} = \frac{3}{2} \times \frac{71}{2} = \frac{3 \times 71}{2 \times 2} = \frac{213}{4} \]
-
To convert \( \frac{213}{4} \) minutes to a mixed number: \[ 213 \div 4 = 53 \quad \text{remainder } 1 \] So, \( \frac{213}{4} = 53 \frac{1}{4} \) minutes.
Therefore, Emma spent \( 53 \frac{1}{4} \) minutes studying, which corresponds to the response:
53 and 1 fourth minutes.
5 answers