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The problem states that Beth is making a rope ladder where each step of the ladder is \( 2 \frac{1}{3} \) feet wide. She has a rope that is 21 feet long, and we need to determine how many steps she can make from this rope.

Let's break it down:

1. Convert the mixed fraction \( 2 \frac{1}{3} \) feet into an improper fraction:
   \[
   2 \frac{1}{3} = \frac{7}{3} \, \text{feet}.
   \]

2. Now, we need to determine how many of these \( \frac{7}{3} \) feet steps fit into 21 feet. This is done by dividing 21 by \( \frac{7}{3} \):
   \[
   \text{Number of steps} = \frac{21}{\frac{7}{3}} = 21 \times \frac{3}{7} = \frac{63}{7} = 9.
   \]

So, Beth can make 9 steps from the 21-foot rope.

Would you like further details or clarification on this? Here are some related questions for further practice:

1. What if the rope were 24 feet long? How many steps could Beth make then?
2. If Beth used steps that were \( 3 \frac{1}{2} \) feet wide, how many could she make from 21 feet?
3. How much rope would Beth have left over if she only made 8 steps?
4. What if Beth's ladder needed steps that were \( 2 \frac{1}{4} \) feet wide? How many steps could she make?
5. How long would the rope need to be for Beth to make 15 steps?

**Tip:** When working with fractions in word problems, always try to convert mixed numbers into improper fractions for easier calculations!

Beth is making a rope ladder. Each step of the ladder is 2 1/3 feet wide. Beth has a rope that is 21 feet long. How many steps can she make from the rope?

Learn how to calculate how many steps Beth can make from a 21-foot long rope when each step is 2 1/3 feet wide. This problem involves dividing mixed fractions and simplifying results. Suitable for Grade 6-7 students.

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