Question & Answer

How many more miles of road are left to build?

How many more miles of road are left to build?

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

1 Answer

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Quizzma TeamDecember 12, 2024

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.