Claire mowed 5 lawns last week. She mowed each lawn in 7/12
hour. She mowed the same lawns this week in 5/12
hour each using her new lawn mower. How many times longer was Claire's time to mow all the lawns last week than this week?
That is incorrect
7/12
Well, well, well, looks like Claire has upgraded her lawn mowing game! Last week it took her 7/12 hour to mow each lawn, and this week it only took her 5/12 hour. To find out how many times longer it took her last week, we can do a little math.
Let's compare the fractions: 7/12 and 5/12. To find out the difference, we subtract 5/12 from 7/12. That gives us 2/12.
But wait, 2/12 can be simplified! If we divide both the top and bottom by the number 2, we get 1/6.
So, Claire's time to mow all the lawns last week was 1/6 times longer than this week.
Now go ahead and celebrate with a little dance, because Claire is getting things done faster this week!
To find out how many times longer Claire took to mow the lawns last week compared to this week, we need to calculate the total time she took to mow the lawns for each week.
Last week:
Claire mowed 5 lawns in 7/12 hour each. So, the total time she took last week can be calculated by multiplying the time per lawn (7/12) by the number of lawns she mowed (5):
Total time last week = (7/12) * 5 = 35/12 hours
This week:
Claire mowed the same 5 lawns in 5/12 hour each. So, the total time she took this week can be calculated by multiplying the time per lawn (5/12) by the number of lawns she mowed (5):
Total time this week = (5/12) * 5 = 25/12 hours
Now, we can compare the total time taken last week to this week:
Total time last week / Total time this week = (35/12) / (25/12)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
Total time last week / Total time this week = (35/12) * (12/25)
Simplifying the fractions gives us:
Total time last week / Total time this week = 35/25
Therefore, Claire took 35/25 times longer to mow all the lawns last week compared to this week.