Answer:
She can make 7 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:
[tex]\frac{2}{9} +\frac{5}{9}\ square\ yards.[/tex]
[tex]=\frac{2+5}{9}\ square\ yards.[/tex]
[tex]=\frac{7}{9}\ square\ yards.[/tex]
Total fabric used for outfit = [tex]=\frac{7}{9}\ square\ yards.[/tex]
Total fabric tailor has = [tex]5\frac{4}{9} =\frac{49}{9}\ square\ yards[/tex]
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.
[tex]Number\ of\ outfits = \frac{49}{9} \div\frac{7}{9}[/tex]
Thus, on dividing we get:
[tex]Number\ of\ outfits = 7\ outfits.[/tex]
Therefore, she can make 7 baby outfits.