1. 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?
To find 1 1/2 times the amount Sarah studied, you multiply the number Sarah studied by 1 1/2: 35.5 * 1 1/2 = <<35.5*1 1/2=53.25>>53.25 minutes. Answer: \boxed{53.25}.
put that as a fraction
To express 53.25 minutes as a fraction, we can first write it as an improper fraction: 53.25 = 53 + 0.25 = 53 + 1/4.
Thus, we have 53.25 minutes = 53 + 1/4 minutes = 53 1/4 minutes.
To find out how many minutes Emma spent studying, we can start by multiplying 35 1/2 by 1 1/2.
First, let's convert 35 1/2 into a fraction:
35 + 1/2 = 70/2 + 1/2 = 71/2
So, Sarah spent 71/2 minutes studying.
Next, let's find 1 1/2 times that amount.
To do this, we multiply 71/2 by 1 1/2.
71/2 * 3/2 = (71 * 3) / (2 * 2) = 213/4
Therefore, Emma spent 213/4 minutes studying.
To simplify this fraction, we can divide the numerator (213) by the denominator (4).
213 รท 4 = 53 remainder 1
So, Emma spent 53 1/4 minutes studying.