For the last 3 hours, Shantell has been writing a research paper. She writes a page every Start Fraction 2 over 3 End Fraction hour. How many pages has she written?
A. 4 Start Fraction 1 over 2 End Fraction
B. 4 Start Fraction 1 over 3 End Fraction
C. 4 Start Fraction 1 over 4 End Fraction
D. 4 Start Fraction 2 over 3 End Fraction
We can use unit rates to solve this problem. Shantell writes a page every Start Fraction 2 over 3 End Fraction hours. To find out how many pages she has written in 3 hours, we can set up a proportion:
Start Fraction 2 over 3 End Fraction hours per page = 3 hours / x pages
Where x is the number of pages she has written. We can solve for x by cross-multiplying:
2x = 3(Start Fraction 3 over 2 End Fraction)
2x = 9/2
x = Start Fraction 9 over 4 End Fraction
Therefore, Shantell has written 4 Start Fraction 1 over 4 End Fraction pages in the last 3 hours. The answer is C.
To find the number of pages Shantell has written, we need to divide the total time she spent writing by the time it takes to write one page.
First, let's convert 3 hours into minutes. Since there are 60 minutes in an hour, 3 hours would be 3 * 60 = 180 minutes.
Next, we divide the total time, which is 180 minutes, by the time it takes to write one page, which is Start Fraction 2 over 3 End Fraction hour.
To convert Start Fraction 2 over 3 End Fraction hour into minutes, we multiply it by 60: Start Fraction 2 over 3 End Fraction * 60 = 40 minutes.
So, we need to divide 180 minutes by 40 minutes per page.
180 minutes / 40 minutes per page = 4.5 pages.
Since we cannot have half a page, we round down to the nearest whole number. So, Shantell has written 4 pages.
Therefore, the answer is A. 4 Start Fraction 1 over 2 End Fraction pages.
To find the number of pages Shantell has written, we need to divide the total time she has been writing (3 hours) by the time it takes her to write a page (2/3 hours).
3 hours ÷ 2/3 hours/page = (3/1) ÷ (2/3) = 3/1 x 3/2 = 9/2
Therefore, Shantell has written 9/2 pages, which simplifies to 4 1/2 pages.
The correct answer is A. 4 1/2.