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To solve this problem, we need to find how many baby outfits the tailor can make with the available fabric.

1. **Calculate the fabric needed for one outfit:**
   - Fabric for the hat = \( \frac{2}{9} \) square yard
   - Fabric for the bib = \( \frac{5}{9} \) square yard
   - Total fabric for one outfit = \( \frac{2}{9} + \frac{5}{9} = \frac{7}{9} \) square yard

2. **Convert the available fabric to an improper fraction:**
   - Available fabric = \( 6 \frac{2}{9} \)
   - Converting to an improper fraction: \( 6 \frac{2}{9} = \frac{54}{9} + \frac{2}{9} = \frac{56}{9} \) square yards

3. **Determine how many outfits can be made:**
   - Divide the total available fabric by the fabric needed for one outfit:
   \[
   \frac{56}{9} \div \frac{7}{9} = \frac{56}{9} \times \frac{9}{7} = \frac{56}{7} = 8
   \]

The tailor can make 8 baby outfits.

Would you like a detailed explanation of any steps or have further questions?

Here are 5 related questions:
1. What if the tailor only had 5 square yards of fabric?
2. How much fabric would be left after making the maximum number of outfits?
3. If the bib required an additional \( \frac{1}{9} \) yard of fabric, how many outfits could be made?
4. What if the tailor increased the fabric supply by 3 more square yards?
5. How could you calculate the number of outfits if the total fabric was given in mixed units (e.g., feet and yards)?

**Tip:** When working with fractions, converting mixed numbers to improper fractions can make calculations easier.

A baby outfit uses 2/9 square yard of fabric for the hat and 5/9 square yard of fabric for the bib. A tailor has 6 2/9 square yards of fabric. How many baby outfits can she make?

Learn how to calculate the number of baby outfits a tailor can make using fractions. The problem involves adding fractions and converting a mixed number to an improper fraction. This is a practical application of fraction operations suitable for Grades 5-7.

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