To find out how many minutes Pamela spent working on math and social studies, we first need to add the time she spent on each subject in hours and then convert that total to minutes.
Pamela spent:
- \( \frac{3}{5} \) of an hour on math homework
- \( \frac{3}{10} \) of an hour on social studies
First, we need a common denominator to add these fractions. The common denominator for 5 and 10 is 10.
Convert \( \frac{3}{5} \) to the common denominator: \[ \frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10} \]
Now, we can add the two fractions: \[ \frac{6}{10} + \frac{3}{10} = \frac{6 + 3}{10} = \frac{9}{10} \]
Pamela spent \( \frac{9}{10} \) of an hour on her homework. To convert this into minutes: \[ \frac{9}{10} \text{ hours} \times 60 \text{ minutes/hour} = \frac{9 \times 60}{10} = \frac{540}{10} = 54 \text{ minutes} \]
Therefore, Pamela spent a total of 54 minutes working on math and social studies.
The correct response is: 54 minutes
3 answers