Answer: [tex]\dfrac{28}{51}[/tex]
Step-by-step explanation:
1 dozen = 12
Given, Total cookies needed = [tex]8\dfrac12\ dozen = \dfrac{17}{2}\ dozen[/tex]
[tex]=\dfrac{17}{2}\times 12\\\\=102[/tex]
2 friends bake 14 cookies each, and your sister will bake 18.
So total cookies already assigned = 2 (14)+18
= 28 + 18 = 46
Remaining cookies you need to bake = 102 - 46 =56
Required Fraction = [tex]\dfrac{\text{Number of cookies you bake}}{\text{Total}}=\dfrac{56}{102}=\dfrac{28}{51}[/tex]
Hence, fraction of the cookies you need to bake [tex]=\dfrac{28}{51}[/tex] .
