Carmen uses (2)/(7) of a bag of flour to make (1)/(2) of a batch of cookies. How many bags of flour does it take to make 3 batches of

Carmen uses (2)/(7) of a bag of flour to make (1)/(2) of a batch of cookies. How many bags of flour does it take to make 3 batches of cookies* sorry hehe

just type fractions as 1/2 or 2/3

The parens really aren't needed for such simple cases.

x/3 = (2/7) / (1/2)
x/3 = 4/7
x = 12/7

To find the number of bags of flour needed to make 3 batches of cookies, we can start by calculating the amount of flour needed for one batch.

Carmen uses 2/7 of a bag of flour to make 1/2 of a batch of cookies.

So, to find the amount of flour needed for one batch, we can calculate (2/7) / (1/2):

(2/7) / (1/2) = (2/7) * (2/1) = 4/7

Therefore, one batch of cookies requires 4/7 of a bag of flour.

To find the amount of flour needed for 3 batches, we multiply the amount per batch by 3:

(4/7) * 3 = 12/7

So, it takes 12/7 (or approximately 1.71) bags of flour to make 3 batches of cookies.

To find out how many bags of flour Carmen would need to make 3 batches of cookies, we need to break down the steps.

Step 1: Determine the amount of flour needed for one batch of cookies
Carmen uses (2)/(7) of a bag of flour to make (1)/(2) of a batch of cookies. This means she needs (2)/(7) of a bag of flour for (1)/(2) of a batch. To find out the amount of flour needed for one whole batch, we can multiply both the numerator and denominator by 2:
(2)/(7) * 2 = (4)/(7) of a bag of flour for one whole batch.

Step 2: Calculate the amount of flour needed for 3 batches
Now that we know that one whole batch requires (4)/(7) of a bag of flour, we can multiply this amount by 3 to find out how much flour is needed for 3 batches:
(4)/(7) * 3 = (12)/(7) of a bag of flour.

So, Carmen would need (12)/(7) of a bag of flour to make 3 batches of cookies. Since it's not possible to have a fractional number of bags, it would be more practical to round up and say that Carmen needs 2 bags of flour for 3 batches of cookies.