Question

Pamela spent 3/5 of a hour doing math homework and 3/10 an hour doing social studies .how many minutes did she spend doing math and social studies

Answer 1

To find out how much time Pamela spent doing math and social studies in total, we first need to add the two fractions representing her time:

1. **Time spent on math homework:** \( \frac{3}{5} \) hours
2. **Time spent on social studies:** \( \frac{3}{10} \) hours

To add these fractions, we need to find a common denominator. The least common denominator (LCD) of 5 and 10 is 10.

Now we convert \( \frac{3}{5} \) to a fraction with a denominator of 10:

\[
\frac{3}{5} = \frac{3 \times 2}{5 \times 2} = \frac{6}{10}
\]

Now we can add \( \frac{6}{10} \) and \( \frac{3}{10} \):

\[
\frac{6}{10} + \frac{3}{10} = \frac{6 + 3}{10} = \frac{9}{10}
\]

So, Pamela spent a total of \( \frac{9}{10} \) hours doing math and social studies.

To convert this time into minutes, we multiply by 60 (since there are 60 minutes in an hour):

\[
\frac{9}{10} \times 60 = \frac{540}{10} = 54 \text{ minutes}
\]

Thus, Pamela spent a total of **54 minutes** doing math and social studies.