Mike write 5 1/2 pages of a report in 2 1/3 hours. What is the average number of pages you write per hour?
5 1/2 divide by 2 1/3?
11/2 divide by 7/2
11/2 X 2/7 = 22/14 = 1 8/14??
Correct Answer:
5 1/2 divide by 2 1/3
11/2 divide by 7/3
11/2 X 3/7
33/14
= 2 5/14 pages (correct answer)
5 1/2 = 5 + 1 / 2 = 10 / 2 + 1 / 2 = 11 / 2
2 1/3 = 2 + 1 / 3 = 6 / 3 + 1 / 3 = 7 / 3
5 1/2 /2 1/3 = ( 11 / 2 ) / ( 7 / 3 ) =
11 * 3 / 2 * 7 = 33 / 14
33 / 14 = 28 / 14 + 5 / 14 = 2 + 5 / 14 = 2 5/14
Average number of pages = 33 / 14 = 2 5/14
Thank you!
To find the average number of pages Mike writes per hour, you can divide the total number of pages written by the total number of hours spent writing. In this case, Mike wrote 5 1/2 pages in 2 1/3 hours.
First, we need to convert the mixed numbers (5 1/2 and 2 1/3) into improper fractions:
5 1/2 = (2 * 5) + 1 = 11/2
2 1/3 = (3 * 2) + 1 = 7/3
Now we can perform the division:
11/2 ÷ 7/3
When dividing fractions, we can multiply the first fraction by the reciprocal of the second fraction:
11/2 × 3/7
Next, we can simplify by canceling out common factors between the numerator and denominator:
(11 × 3) / (2 × 7) = 33/14
So, the average number of pages Mike writes per hour is 33/14, which can be further simplified to 2 5/14.