A construction crew must build 4 miles of road in one week. On Monday, they build 1/2 mile of road. On Tuesday, they build 1/3 mile of road. How many more miles of road are left to build?
1/6 mile
3 1/6 miles
5/6 mile
3 5/6 miles
A construction crew must build 4 miles of road in one week. On Monday, they build 1/2 mile of road. On Tuesday, they build 1/3 mile of road. How many more miles of road are left to build?
1/6 mile
3 1/6 miles
5/6 mile
3 5/6 miles
To find out how much more road the construction crew has left to build, we first need to add the miles of road they built on Monday and Tuesday.
On Monday, they built 1/2 mile.
On Tuesday, they built 1/3 mile.
Next, we add these two fractions together. To do this, we need a common denominator. The least common denominator of 2 and 3 is 6.
Now, convert each fraction:
1/2 = 3/6 (because 1 * 3 = 3 and 2 * 3 = 6)
1/3 = 2/6 (because 1 * 2 = 2 and 3 * 2 = 6)
Now add the two fractions:
3/6 + 2/6 = 5/6 mile
Now, subtract this total from the total distance they need to build, which is 4 miles:
4 miles – 5/6 mile
Convert 4 miles to sixths:
4 = 24/6
Now subtract:
24/6 – 5/6 = 19/6 miles
The remaining amount can also be expressed as a mixed number:
19/6 miles = 3 1/6 miles
So, the answer is 3 1/6 miles.