Question

Construction crew must build 3 miles of road in one week. On Monday, they build 2/3 mile of road. On Tuesday, they build 1/4 mile of road. How many miles of road do they still have to build this week?

A) 1/12 mile
B)11/12 mile
C)2 1/2 miles
D)2 11/12 miles

You dont have to show your work, just plz plz be fast

Answer 1

Hi!

The correct answer is 2 1/12 miles.

*I suppose that C is misswritten and the correct option is C) 2 1/12.*

Explanation:

To solve this problem you have to the equation:

`(2)/(3) + (1)/(4) + x = 3`, where x is the miles of road that they still have to build this week.

`(2)/(3) + (1)/(4) + x = 3`

`(11)/(12) + x = 3` // add 2/3 to 1/4.

`(11)/(12) - (11)/(12) + x = 3 - (11)/(12)` // substract 11/12 in both sides of equation.

`x = (25)/(12) = 2(1)/(12)`

The answer is 2 1/12 miles.

Answer 2

Answer: B) 11/12

It'd be better to show work to understand how you got the answer just in case you come across a similar problem.

You'd have to find a common denominator.
When it comes to 3 and 4, it's usually 12.

3 x 4 = 12
4 x 3 = 12

2 x 4 = 8
1 x 3 = 3


8/12 + 3/12 = 11/12