Answer:
She can make<u> 7 </u>baby outfits.
Step-by-step explanation:
Given:
A baby outfit uses 2/9 square yard of fabric for the hat and 5/9 square yards of fabric for the bib.
A tailor has 5 4/9 square yards of fabric.
Now, to find the outfits she can make.
So, we add to get the total fabric used for baby outfits hat and bib:
![\frac{2}{9} +\frac{5}{9}\ square\ yards.](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B9%7D%20%2B%5Cfrac%7B5%7D%7B9%7D%5C%20square%5C%20yards.)
![=\frac{2+5}{9}\ square\ yards.](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%2B5%7D%7B9%7D%5C%20square%5C%20yards.)
![=\frac{7}{9}\ square\ yards.](https://tex.z-dn.net/?f=%3D%5Cfrac%7B7%7D%7B9%7D%5C%20square%5C%20yards.)
Total fabric used for outfit = ![=\frac{7}{9}\ square\ yards.](https://tex.z-dn.net/?f=%3D%5Cfrac%7B7%7D%7B9%7D%5C%20square%5C%20yards.)
Total fabric tailor has = ![5\frac{4}{9} =\frac{49}{9}\ square\ yards](https://tex.z-dn.net/?f=5%5Cfrac%7B4%7D%7B9%7D%20%3D%5Cfrac%7B49%7D%7B9%7D%5C%20square%5C%20yards)
Now, to get the number of outfits from the fabric tailor has we divide by total fabric used for outfit:
Number of outfits = Total fabric tailor has ÷ Total fabric used for outfit.
![Number\ of\ outfits = \frac{49}{9} \div\frac{7}{9}](https://tex.z-dn.net/?f=Number%5C%20of%5C%20outfits%20%3D%20%5Cfrac%7B49%7D%7B9%7D%20%5Cdiv%5Cfrac%7B7%7D%7B9%7D)
<em>Thus, on dividing we get:</em>
![Number\ of\ outfits = 7\ outfits.](https://tex.z-dn.net/?f=Number%5C%20of%5C%20outfits%20%3D%207%5C%20outfits.)
Therefore, she can make 7 baby outfits.