Question

Stephanie has a recipe that calls for StartFraction 2 over 3 EndFraction tablespoons of vanilla to make 3 and StartFraction 1 over 2 EndFraction dozen cookies.



How many tablespoons of vanilla are needed per dozen cookies?

Answer 1

So then what is 0.9 as a fraction? My options are: A.
StartFraction 1 over 21 EndFraction

B.
StartFraction 1 over 7 EndFraction

C.
StartFraction 4 over 21 EndFraction

D.
StartFraction 3 over 7 EndFraction

Answer 2

First, we need to find out how many tablespoons of vanilla are needed for one cookie.

To do this, we can divide the amount of vanilla needed to make 3 and 1/2 dozen cookies by the total number of cookies:

- 3 and 1/2 dozen cookies is the same as 3 x 12 + 1/2 x 12 = 42 cookies
- 2/3 tablespoons of vanilla is needed to make 3 and 1/2 dozen cookies
- Therefore, 2/3 ÷ 42 = 0.01587 tablespoons of vanilla is needed per cookie

To find out how many tablespoons of vanilla are needed per dozen cookies, we simply multiply the above amount by 12:

- 0.01587 x 12 = 0.19044, which we can round to 0.19 tablespoons of vanilla per dozen cookies

Therefore, Stephanie needs approximately 0.19 tablespoons of vanilla to make one dozen cookies.

Answer 3

Option D is the correct answer.

To convert 0.9 to a fraction, we can write it as 9/10. Then, we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 1:

- 9/10 ÷ 1/1 = 9/10
- Therefore, 0.9 as a fraction is StartFraction 9 over 10 EndFraction, which is equivalent to StartFraction 3 over 3 EndFraction x StartFraction 3 over 10 EndFraction, or StartFraction 3 over 7 EndFraction.