Yesterday, Sarah spent 35 1/2
minutes studying for a test. Emma spent 1 1/2
times that amount studying for a different test. How many minutes did Emma spend studying?(1 point)
To find the number of minutes Emma spent studying, we need to multiply Sarah's study time by 1 1/2.
First, let's convert Sarah's study time to a mixed number. We have 35 1/2 minutes.
Next, let's multiply Sarah's study time by 1 1/2.
35 1/2 * 1 1/2 = 53 3/4 minutes.
Therefore, Emma spent 53 3/4 minutes studying.
To find out how many minutes Emma spent studying, we need to multiply the amount of time Sarah spent studying by 1 1/2.
Sarah spent 35 1/2 minutes studying.
To calculate Emma's studying time, we need to multiply 35 1/2 by 1 1/2.
1 1/2 is the same as 3/2.
35 1/2 * 3/2 = (71/2) * (3/2) = 213/4
So, Emma spent 213/4 minutes studying.
However, this is not expressed as a mixed number, so we need to convert it.
213/4 = 53 1/4
Therefore, Emma spent 53 1/4 minutes studying.
To find out how many minutes Emma spent studying, we'll need to first calculate 1 1/2 times the amount Sarah spent.
To do this, we'll convert the mixed number 1 1/2 to an improper fraction.
1 1/2 = (2*1 + 1)/2 = 3/2
Now we can multiply this fraction by the amount of time Sarah spent studying:
35 1/2 * 3/2 = (35 1/2)* (3/2)
To make the multiplication easier, we'll convert the mixed number 35 1/2 to an improper fraction:
35 1/2 = (2*35 + 1)/2 = 71/2
Now we can multiply:
(71/2) * (3/2) = (71 * 3) / (2 * 2) = 213/4
Therefore, Emma spent 213/4 minutes studying for her test.
To convert this improper fraction to a mixed number, we divide the numerator (213) by the denominator (4):
213 รท 4 = 53 with a remainder of 1
So, the mixed number is 53 1/4.
Thus, Emma spent 53 1/4 minutes studying for her test.