it takes 3weeks to build a large garage.if it takes 2/3 of a week to construct the frame and 5/4 of a week to put the roof on.how much time is spent on the rest of the construction?
wrong information
=3-2/3-5/4
=(36-8-15)/12
=(36-23)/12
=13/12
or =1.083 week
To find out how much time is spent on the rest of the construction, we need to subtract the time spent on constructing the frame and putting the roof on from the total time it takes to build the garage, which is 3 weeks.
First, let's calculate the time spent on constructing the frame. We're given that it takes 2/3 of a week for this step.
To add this fraction to a whole number, we need to convert the whole number into a fraction with the same denominator. Since a week has 3 parts, we can write 1 week as 3/3 of a week.
Therefore, the time spent on constructing the frame is (2/3) - (3/3) = -1/3 of a week.
Next, let's calculate the time spent on putting the roof on. We're given that it takes 5/4 of a week for this step.
Again, we need to convert the whole number to a fraction with the same denominator. A week has 4 parts, so 1 week is equal to 4/4 of a week.
Therefore, the time spent on putting the roof on is (5/4) - (4/4) = 1/4 of a week.
Now, we can determine the time spent on the rest of the construction by subtracting the time spent on constructing the frame and putting the roof on from the total construction time:
Total construction time = 3 weeks
Time spent on frame construction = -1/3 weeks
Time spent on roof construction = 1/4 weeks
Rest of the construction time = Total construction time - Time spent on frame construction - Time spent on roof construction
Rest of the construction time = 3 - (-1/3) - (1/4)
To compute this, we need to find a common denominator for the fractions involved, which is 12.
Rest of the construction time = 36/12 + 4/12 - 3/12
Rest of the construction time = 37/12
So, the rest of the construction takes approximately 37/12 weeks, which is equivalent to about 3 and 1/12 weeks, or approximately 3.08 weeks.