a cook has 2 3/4 hours to bake muffins. each batch of muffins takes 1/2 hour to bake. how many batches can she bake?
Trying to work fraction problems but need help.
Start by converting 2 3/4 to an improper fraction. (3+2*4)/4 = 11/4
Divide 11/4 by 1/2. (11/4)/(1/2) = (11/4)*(2/1) = 11/2.
Convert back to a mixed number. 11/2 = 5 1/2.
The cook cannot bake half a batch of muffins. Round down to 5 batches.
To solve this problem, we need to find out how many batches of muffins the cook can bake within the given time frame.
First, let's convert the time the cook has into a fraction of an hour. Since 2 hours is equal to 2 * 60 minutes, and adding the remaining 45 minutes, we have a total of 2 hours and 45 minutes, which is 2 + 45/60 = 2 + 3/4 = 8/4 + 3/4 = 11/4 hours.
Next, we need to find out how long it takes to bake one batch of muffins, which is given as 1/2 hour.
Now, we can divide the total time available (11/4 hours) by the time required to bake one batch (1/2 hour) to find out how many batches the cook can make.
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. Reciprocal of 1/2 is 2/1.
So, we have (11/4) * (2/1) = (11 * 2) / (4 * 1) = 22/4 = 11/2.
Therefore, the cook can bake 11/2 or 5 1/2 batches of muffins within the given time frame.