Sure, let's break this down step by step:
1. First, we need to convert the mixed numbers into decimals for easier addition.
- For the flight time from City A to City B:
[tex]\[
2 \frac{4}{5} = 2 + \frac{4}{5}
\][/tex]
Converting [tex]\(\frac{4}{5}\)[/tex] to a decimal:
[tex]\[
\frac{4}{5} = 0.8
\][/tex]
Therefore:
[tex]\[
2 \frac{4}{5} = 2 + 0.8 = 2.8 \text{ hours}
\][/tex]
- For the flight time from City B to City C:
[tex]\[
4 \frac{2}{3} = 4 + \frac{2}{3}
\][/tex]
Converting [tex]\(\frac{2}{3}\)[/tex] to a decimal:
[tex]\[
\frac{2}{3} \approx 0.6667
\][/tex]
Therefore:
[tex]\[
4 \frac{2}{3} \approx 4 + 0.6667 \approx 4.6667 \text{ hours}
\][/tex]
2. Next, we add the two flight times together to find the total flight time:
- Total flight time:
[tex]\[
2.8 \text{ hours} + 4.6667 \text{ hours} \approx 7.4667 \text{ hours}
\][/tex]
Therefore, Kelly flew a total of approximately [tex]\( 7.4667 \)[/tex] hours.
