A certain plant grows 1 1/6 inches every week how long will it take for the plant to grow 6 1/6

Answer 1

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.