Question
Mona had some free time, so she decided to go online and read about her favorite hobbies. She spent \( 14 / 15 \) of an hour on cooking, \( 7 / 15 \) of an hour on knitting, and \( 4 / 15 \) of an hour on baking. In addition, she spent \( 2 / 5 \) of an hour reading about dog training and \( 2 / 3 \) of an hour learning about sewing. In all, how many hours did Mona spend reading up on her hobbies?
Ask by Guerrero Pearson.
Jan 29,2025 01:39
UpStudy AI Solution
Tutor-Verified Answer
Answer
Mona spent a total of \( 2 \frac{11}{15} \) hours reading about her hobbies.
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Beyond the Answer
To find out how many hours Mona spent on her hobbies, we need to add all the fractions of time she spent on each activity.
1. Cooking: \( \frac{14}{15} \)
2. Knitting: \( \frac{7}{15} \)
3. Baking: \( \frac{4}{15} \)
4. Dog Training: \( \frac{2}{5} \), which can be converted to a fraction with a denominator of 15:
\( \frac{2}{5} = \frac{6}{15} \)
5. Sewing: \( \frac{2}{3} \), which can also be converted:
\( \frac{2}{3} = \frac{10}{15} \)
Now, we can add these fractions together:
\[
\frac{14}{15} + \frac{7}{15} + \frac{4}{15} + \frac{6}{15} + \frac{10}{15} = \frac{41}{15}
\]
To convert \( \frac{41}{15} \) into hours, we can divide 41 by 15:
\[
\frac{41}{15} = 2 \text{ hours and } \frac{11}{15} \text{ of an hour }
\]
Thus, Mona spent a total of 2 hours and 11/15 of an hour reading about her hobbies.
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