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Answer :
To find out how many hours Allie swam altogether, we'll round each mixed number to the nearest whole number and then add them up.
1. Round Week 1:
- Allie's swimming hours for Week 1 are [tex]\(4 \frac{1}{3}\)[/tex] hours.
- To round [tex]\(4 \frac{1}{3}\)[/tex], convert the fraction [tex]\(\frac{1}{3}\)[/tex] to a decimal: [tex]\(\frac{1}{3} \approx 0.33\)[/tex].
- So, [tex]\(4 \frac{1}{3}\)[/tex] is approximately [tex]\(4.33\)[/tex].
- Round [tex]\(4.33\)[/tex] to the nearest whole number, which is [tex]\(4\)[/tex].
2. Round Week 2:
- Allie's swimming hours for Week 2 are [tex]\(2 \frac{5}{6}\)[/tex] hours.
- Convert the fraction [tex]\(\frac{5}{6}\)[/tex] to a decimal: [tex]\(\frac{5}{6} \approx 0.83\)[/tex].
- So, [tex]\(2 \frac{5}{6}\)[/tex] is approximately [tex]\(2.83\)[/tex].
- Round [tex]\(2.83\)[/tex] to the nearest whole number, which is [tex]\(3\)[/tex].
3. Calculate the Total:
- Add the rounded hours from Week 1 and Week 2: [tex]\(4 + 3 = 7\)[/tex].
So, Allie swam for about 7 hours altogether.
1. Round Week 1:
- Allie's swimming hours for Week 1 are [tex]\(4 \frac{1}{3}\)[/tex] hours.
- To round [tex]\(4 \frac{1}{3}\)[/tex], convert the fraction [tex]\(\frac{1}{3}\)[/tex] to a decimal: [tex]\(\frac{1}{3} \approx 0.33\)[/tex].
- So, [tex]\(4 \frac{1}{3}\)[/tex] is approximately [tex]\(4.33\)[/tex].
- Round [tex]\(4.33\)[/tex] to the nearest whole number, which is [tex]\(4\)[/tex].
2. Round Week 2:
- Allie's swimming hours for Week 2 are [tex]\(2 \frac{5}{6}\)[/tex] hours.
- Convert the fraction [tex]\(\frac{5}{6}\)[/tex] to a decimal: [tex]\(\frac{5}{6} \approx 0.83\)[/tex].
- So, [tex]\(2 \frac{5}{6}\)[/tex] is approximately [tex]\(2.83\)[/tex].
- Round [tex]\(2.83\)[/tex] to the nearest whole number, which is [tex]\(3\)[/tex].
3. Calculate the Total:
- Add the rounded hours from Week 1 and Week 2: [tex]\(4 + 3 = 7\)[/tex].
So, Allie swam for about 7 hours altogether.
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