Robert is writing a paper for language arts class. He can write (1/3) of a page in (1/4) of an hour. At what rate is Robert writing?
To find the rate at which Robert is writing, we need to calculate the number of pages he can write per hour.
First, let's determine how many pages Robert can write in (1/4) of an hour. Since Robert can write (1/3) of a page in (1/4) of an hour, we can find the number of pages he can write in one hour by multiplying (1/3) by 4.
(1/3) * 4 = 4/3
So, Robert can write 4/3 of a page in one hour.
To simplify this fraction, we can divide both the numerator and denominator by 3:
(4/3) ÷ (3/3) = 4/9
Therefore, Robert is writing at a rate of 4/9 pages per hour.
To find the rate at which Robert is writing, we can use the formula:
Rate = Amount / Time
Given that Robert can write (1/3) of a page in (1/4) of an hour, we can substitute these values into the formula:
Rate = (1/3) page / (1/4) hour
To simplify this, we can multiply the numerator and denominator by the reciprocal of (1/4), which is 4/1:
Rate = (1/3) page * (4/1) hour
Now, we multiply the numerators and denominators:
Rate = (1 * 4) / (3 * 1) = 4/3
Therefore, Robert is writing at a rate of 4/3 pages per hour.