Answer:
He can make 2 badges
Step-by-step explanation:
* Lets explain how to solve the problem
- Mr.Garcia is making badges
- Each badge has 3/8 yards of ribbon
- He starts with 3/4 yard of ribbon
- We need to find how many badges he can make
∵ The length of each badge is 3/8 yard of ribbon
∵ The total length of the ribbon is 3/4 yard
- To find the number of the badges is the quotient of the division
of the total length of the ribbon by the length of each badge
∵ The number of badges = the length of the ribbon ÷ the length
of the badge
∴ The number of badges = [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{3}{8}[/tex]
- To solve the division of two fraction we change the division
sign by the multiplication sign and reciprocal the fraction after
the division sign
∴ The number of the badges = [tex]\frac{3}{4}[/tex] × [tex]\frac{8}{3}[/tex]
∴ The number of the badges = [tex]\frac{3*8}{4*3}=\frac{24}{12}= 2[/tex]
* He can make 2 badges
