Question

The total number of cookies needed for the bake sale is 8 1/2 dozen. Two of your friends will bake 1/4 of the cookies your sister will bake 1/8 of the cookies. what fraction of the cookie do you need to bake?

Answer 1

To determine the fraction of cookies you need to bake from the total number of cookies needed, subtract the fractions of cookies baked by others. The fraction you need to bake is 33/1 or 33 out of the total 51 cookies.

Step-by-step explanation:

To determine the fraction of cookies you need to bake, you need to subtract the fractions of cookies baked by your friends and sister from the total number of cookies needed.

First, convert the total number of cookies needed to a fraction: 8 1/2 dozen = 8 1/2 * 12/1 = 102/2 = 51/1.

Next, calculate the fraction of cookies baked by your friends: 1/4 of 51/1 = 51/4.

Then, calculate the fraction of cookies baked by your sister: 1/8 of 51/1 = 51/8.

Finally, subtract the fractions of cookies baked by your friends and sister from the total: 51/1 - 51/4 - 51/8 = 51/1 - 12/1 - 6/1 = 51/1 - 18/1 = 33/1.

Therefore, you need to bake 33/1 or 33 out of the total 51 cookies.

Answer 2

The fraction of cookies I need to bake is 5/8

Step-by-step explanation:

1. Let's check all the information given to answer the question properly:

Total number of cookies needed for the bake sale = 8 1/2 dozen

Two friends will bake 1/4 of the cookies

Sister will bake 1/8 of the cookies

2. What fraction of the cookies do you need to bake?

Let's find the fraction of the cookies I need to bake:

1 - 1/4 - 1/8

We can write 1 as 4/4 or 8/8 for finding the lowest common denominator

8/8 - 2/8 - 1/8

(8 - 2 - 1)/8 = 5/8

The fraction of cookies I need to bake is 5/8