Yesterday, Sarah spent 35 1/2 minutes studying for a test. Emma spent 1 1/2 times that amount studying for a different test. How many minutes did Emma spend studying?

Answer 1

To find out how many minutes Emma spent studying, we first need to calculate 1 1/2 times the amount of time Sarah studied.

Sarah spent \( 35 \frac{1}{2} \) minutes studying. We can convert that mixed number into an improper fraction:

\[ 35 \frac{1}{2} = 35 + \frac{1}{2} = \frac{70}{2} + \frac{1}{2} = \frac{71}{2} \text{ minutes} \]

Now, we find 1 1/2 times Sarah's study time:

\[ 1 \frac{1}{2} = \frac{3}{2} \]

Thus, we calculate:

\[ \text{Emma's study time} = \frac{3}{2} \times \frac{71}{2} \]

Next, we multiply these fractions:

\[ \frac{3 \times 71}{2 \times 2} = \frac{213}{4} \]

Now, we convert \( \frac{213}{4} \) into a mixed number:

First, divide 213 by 4:

\[ 213 \div 4 = 53 \text{ remainder } 1 \]

Thus, we can write:

\[ \frac{213}{4} = 53 \frac{1}{4} \]

Finally, to find out how many minutes Emma spent studying in a decimal format, we can calculate:

\[ 53 \frac{1}{4} = 53 + 0.25 = 53.25 \text{ minutes} \]

Therefore, the total time Emma spent studying is:

\[ \boxed{53.25} \text{ minutes} \]