Cox Greene
04/16/2023 · Junior High School
5. Leesa's best time for completing the obstacle course was \( 10 \frac{1}{2} \mathrm{~min} \), and Sandy's best time was \( 9 \frac{1}{5} \) min. What was the total of their best time
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Tutor-Verified Answer
Step-by-step Solution
To find the total of Leesa's and Sandy's best times, we first need to convert their times into improper fractions.
1. **Convert Leesa's time:**
\[
10 \frac{1}{2} = 10 + \frac{1}{2} = \frac{20}{2} + \frac{1}{2} = \frac{21}{2} \text{ minutes}
\]
2. **Convert Sandy's time:**
\[
9 \frac{1}{5} = 9 + \frac{1}{5} = \frac{45}{5} + \frac{1}{5} = \frac{46}{5} \text{ minutes}
\]
3. **Find a common denominator to add the two fractions.** The denominators are 2 and 5. The least common multiple of 2 and 5 is 10.
- Convert \(\frac{21}{2}\) to a fraction with a denominator of 10:
\[
\frac{21}{2} = \frac{21 \times 5}{2 \times 5} = \frac{105}{10}
\]
- Convert \(\frac{46}{5}\) to a fraction with a denominator of 10:
\[
\frac{46}{5} = \frac{46 \times 2}{5 \times 2} = \frac{92}{10}
\]
4. **Add the two fractions:**
\[
\frac{105}{10} + \frac{92}{10} = \frac{105 + 92}{10} = \frac{197}{10}
\]
5. **Convert the improper fraction back to a mixed number:**
\[
\frac{197}{10} = 19 \frac{7}{10} \text{ minutes}
\]
Thus, the total of Leesa's and Sandy's best times is \( 19 \frac{7}{10} \) minutes.
Quick Answer
The total time is \( 19 \frac{7}{10} \) minutes.
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