Question

Write the expression in simplest form. (-11/12x+3)-2(-11/4x-5/2)=blank

Answer 1

The simplest form is 8

Step-by-step explanation

The first step is to write the expression without the parenthesis. To do this we have to apply the distributive property to the parenthesis on the right, by multiplying each term in it by -2:

`(-(11)/(2)x+3)-2(-(11)/(4)x-(5)/(2))=-(11)/(2)x+3+(22)/(4)x+(10)/(2)`

Next we have to add the terms that contain x:

`-(11)/(2)x+(22)/(4)x`

Note that 22/4 can be simplified to 11/2:

`-(11)/(2)x+(22)/(4)x=-(11)/(2)x+(11)/(2)x=0`

The terms that contain x add up to 0, so we only have the numeric terms left:

`3+(10)/(2)`

The second term fraction can be simplified, because both numerator and denominator are divisible by 2:

`(10)/(2)=(5)/(1)=5`

The addition now is:

`3+5=8`

This expression in simplest form is 8.