One: plz don't judge the fact that I'm horrible at dividing fractions.
Two: Here's the question: A cookie factory uses 1/6 of a barrel of oatmeal in each batch of cookies. The factory used 2/3 of a barrel of oatmeal yesterday. How many batches of cookies did the factory make?
Three: I hate math so plz plz try to make this fun.
well, 2/3 = 4/6, so it is 4 times as much as needed for one batch of cookies.
So, they must have made 4 batches of cookies.
As the purists would have you set up a proportion,
(2/3)/(1/6) = x/1
4 = x
Or, as scientists would proceed, using dimensional analysis, converting barrels to batches,
(2/3 barrel) * (1 batch)/(1/6 barrel) = (2/3)/(1/6) = 4 batch
Fun? How many of these cookies can you eat??
This is really easy. First write down the problem.
(2/3) / (1/6) =
Now turn the second fraction upside down.
(2/3) * (6/1) =
Now multiply.
(2/3) * (6/1) = 12/3
We're almost there. We need to change 12/3 into a whole number. What's 12 divided by 3? Of course, 4!!
So the factory made 4 batches yesterday.
Yummmm!
1/6 barrel /batch is
6 batches / barrel
6 batches/barrel * (2/3) barrel
= 12/3 batches
= 4 batches
Thank you! And that was KINDA fun! Thank you guys so much! You rlly are the best Ms. Sue
LOL! You're welcome.
No worries, I won't judge! Let's tackle the problem step by step and make it fun along the way.
To find out how many batches of cookies the factory made, we need to divide the total amount of oatmeal used by the amount of oatmeal used in each batch.
Step 1: Let's start with the amount of oatmeal used yesterday, which is 2/3 of a barrel. We know that the factory uses 1/6 of a barrel in each batch.
Step 2: To find the number of batches, we divide the total oatmeal used yesterday by the oatmeal used per batch: (2/3) ÷ (1/6).
Step 3: To divide fractions, we need to multiply the first fraction (2/3) by the reciprocal (also known as the multiplicative inverse) of the second fraction (1/6). The reciprocal of a fraction is found by swapping the numerator and the denominator.
So, (2/3) ÷ (1/6) becomes (2/3) * (6/1).
Step 4: Multiply the numerators (2 * 6) and the denominators (3 * 1) to get the final answer.
(2/3) * (6/1) = (12/3) = 4
Therefore, the factory made 4 batches of cookies!
I hope this explanation helped you understand how to solve the problem. Remember, practice makes perfect, and with a little bit of math, even cookie-making can be fun!