Susan finished typing 1/9 of an article in the first houe and finished 1.4 of the remaining in the second hour. she then typed 2.3 of the leftover from the first two hours in the third hour.
left over from the first hour=
fraction of article typed on 2nd hour=
leftover from the first two hours=
fraction of article typed on 3rd hour=
fraction of the article typed in these 3 hours=
You did not fill in any of the answers, so how can we tell you if you are right or not?
eg. if she typed 1/9 of the article in the first hour, then
8/9 must be left over from the first hour.
try it, the question is not that hard.
Apologies for the oversight. Let's go through the calculations step by step to find the answers.
Step 1: The fraction of the article that Susan typed in the first hour is 1/9.
Since 1/9 is the fraction Susan typed in the first hour, the remaining fraction of the article after the first hour is 8/9.
Step 2: In the second hour, Susan typed 1.4 times the remaining fraction.
If 1.4 times the remaining fraction was typed in the second hour, we can calculate it by multiplying 8/9 by 1.4.
(8/9) * 1.4 = (8 * 1.4) / 9 = 11.2 / 9
Therefore, the fraction of the article typed in the second hour is 11.2/9.
Step 3: We need to find the leftover from the first two hours.
To do this, we subtract the fraction typed in the first two hours (1/9 + 11.2/9) from the remaining fraction after the first hour (8/9).
(8/9) - (1/9 + 11.2/9) = (8 - 1 - 11.2) / 9 = -4.2 / 9
Since the result is negative, it means that Susan typed more than the remaining fraction in the first two hours. Consequently, there is no leftover from the first two hours.
Step 4: In the third hour, Susan typed 2.3 times the leftover from the first two hours.
Since there is no leftover from the first two hours, the fraction typed in the third hour is 0.
To calculate the fraction of the article typed in these three hours, we add up the fractions from each hour.
(1/9) + (11.2/9) + 0 = (1 + 11.2) / 9 = 12.2 / 9
Therefore, the fraction of the article typed in these three hours is 12.2/9.
So, to recap:
- Leftover from the first hour: 8/9
- Fraction of the article typed on the second hour: 11.2/9
- Leftover from the first two hours: 0
- Fraction of the article typed on the third hour: 0
- Fraction of the article typed in these three hours: 12.2/9