A baker uses 2 5/6 pounds of butter to make a batch of cookies. On a particular day, thebaker used 8 1/2 pounds of butter to make cookies. How many batches of cookies did the baker make that day?
8 1/2 / 2 5/6
17/2 / 17/6
1/2 / 1/6
3
thank you
1/3
To find out how many batches of cookies the baker made, we need to divide the total amount of butter used by the amount of butter used in one batch.
First, let's convert the mixed numbers into improper fractions:
2 5/6 pounds of butter = (2 * 6 + 5) / 6 = 17/6 pounds of butter
8 1/2 pounds of butter = (8 * 2 + 1) / 2 = 17/2 pounds of butter
Now, we can divide the total amount of butter used by the amount of butter used in one batch:
17/2 pounds of butter / 17/6 pounds of butter per batch
To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction:
17/2 pounds of butter * 6/17 pounds of butter per batch
(17 * 6) / (2 * 17)
= 102/34
= 3/1
So, the baker made 3 batches of cookies that day.