Question
A certain plant grows 1 1/6 inches every week how long will it take for the plant to grow 6 1/6
Answers
GPT-4o mini
To find out how long it will take for the plant to grow \(6 \frac{1}{6}\) inches when it grows \(1 \frac{1}{6}\) inches each week, we can set up the calculation as follows:
1. Convert the mixed numbers to improper fractions:
- \(1 \frac{1}{6} = \frac{6 + 1}{6} = \frac{7}{6}\)
- \(6 \frac{1}{6} = \frac{36 + 1}{6} = \frac{37}{6}\)
2. Now, divide the total growth \(6 \frac{1}{6}\) by the weekly growth \(1 \frac{1}{6}\):
\[
\text{Weeks} = \frac{\frac{37}{6}}{\frac{7}{6}} = \frac{37}{6} \times \frac{6}{7} = \frac{37}{7}
\]
3. Simplify \(\frac{37}{7}\):
- This is approximately \(5.2857\), or \(5\) weeks and \(\frac{2}{7}\) of a week.
Thus, it will take approximately **5 weeks and 2 days** for the plant to grow \(6 \frac{1}{6}\) inches.
1. Convert the mixed numbers to improper fractions:
- \(1 \frac{1}{6} = \frac{6 + 1}{6} = \frac{7}{6}\)
- \(6 \frac{1}{6} = \frac{36 + 1}{6} = \frac{37}{6}\)
2. Now, divide the total growth \(6 \frac{1}{6}\) by the weekly growth \(1 \frac{1}{6}\):
\[
\text{Weeks} = \frac{\frac{37}{6}}{\frac{7}{6}} = \frac{37}{6} \times \frac{6}{7} = \frac{37}{7}
\]
3. Simplify \(\frac{37}{7}\):
- This is approximately \(5.2857\), or \(5\) weeks and \(\frac{2}{7}\) of a week.
Thus, it will take approximately **5 weeks and 2 days** for the plant to grow \(6 \frac{1}{6}\) inches.