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

Respuesta :

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

Answer:

Hi!

The correct answer is 2 1/12 miles.

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

Step-by-step explanation:

To solve this problem you have to the equation:

[tex] \frac{2}{3} + \frac{1}{4} + x = 3 [/tex], where x is the miles of road that they still have to build this week.

[tex] \frac{2}{3} + \frac{1}{4} + x = 3 [/tex]

[tex] \frac{11}{12} + x = 3 [/tex] // add 2/3 to 1/4.

[tex] \frac{11}{12} - \frac{11}{12} + x = 3 - \frac{11}{12} [/tex] //  substract 11/12 in both sides of equation.

[tex] x = \frac{25}{12} = 2\frac{1}{12} [/tex]

The answer is 2 1/12 miles.

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