A new section of freeway will be 8 1/2 mi long. During the first month of construction, 2 7/10 mi were built. During the second month, 3 3/5 mi were built. How many more miles were left to build?

Check out the Anonymous Link MATH down just a little bit from here.

Ms. Sue and I responded.

A DVD case is 9/16 in. Thick. How many of these cases will fit on a shelf that is 1 1/2 ft wide?

Change everything to inches and then divide the shelf width by 9/16

Remember when dividing fractions you multiply the the reciprocal.

You will multiply the shelf by 16/9

To find out how many more miles were left to build, we need to subtract the total distance built from the total length of the freeway.

First, let's convert the given mixed numbers to improper fractions:
8 1/2 mi = 8 + 1/2 = 16/2 + 1/2 = 17/2 mi
2 7/10 mi = 2 + 7/10 = 20/10 + 7/10 = 27/10 mi
3 3/5 mi = 3 + 3/5 = 15/5 + 3/5 = 18/5 mi

Next, let's add the distances built during the first and second months:
Distance built = 27/10 mi + 18/5 mi

To add these fractions, we need to find a common denominator. The least common multiple of 10 and 5 is 10. Let's convert the fractions to have a denominator of 10:
Distance built = (27/10) * (2/2) + (18/5) * (2/2)
Distance built = 54/20 + 36/20
Distance built = (54 + 36)/20
Distance built = 90/20

Now, let's subtract the distance built from the total length of the freeway:
Remaining distance = 17/2 mi - 90/20 mi

To subtract these fractions, we need to find a common denominator. The least common multiple of 2 and 20 is 20. Let's convert the fractions to have a denominator of 20:
Remaining distance = (17/2) * (10/10) - (90/20)
Remaining distance = 170/20 - 90/20
Remaining distance = (170 - 90)/20
Remaining distance = 80/20

Finally, let's simplify the fraction to its lowest terms:
Remaining distance = 4/1 mi

Therefore, there were 4 miles left to build.