Question

Katie completes 2/3 of a craft project in 3/4 of an hour. At this rate, what fraction of the craft project does Katie complete in one hour? Give your answer in fraction form. Enter your answer in the box.

Answer 1

Katie can complete 2/3 of the craft project in one hour.

Step-by-step explanation:

To find out what fraction of the craft project Katie completes in one hour, we need to determine how many times 3/4 can fit into 1 hour. Since there are 60 minutes in an hour, we can convert 3/4 of an hour to minutes by multiplying it by 60. 3/4 x 60 = 45 minutes. So, Katie completes 2/3 of the craft project in 45 minutes. To find out how much she can complete in 1 hour, we need to scale the fraction. Since 45 minutes is 3/4 of an hour, 60 minutes is equivalent to 4/4 or 1 whole hour. Therefore, Katie can complete 2/3 of the craft project in one hour.

Answer 2

After 3/4 hours, 2/3 of project is done.

After 1 hr, .... project is done.

In other words,
2/3 of project ---- 3/4 hours
? of project ------ 1 hour
The more Katie works, the more the project nears completion. This is a direct proportionality kind of relationship.

Therefore,
Part of project completed in 1 hour = (2/3*1)/(3/4) = 2/3*4/3 = 8/9