Question

What is the simplified form of 4x plus 2 over x plus 5 plus the fraction 3x plus 1 over x plus 5?

(I know that the question is written in a weird context, but that is exactly how it is being asked.)

Answer 1

so you have

\[\large \frac{4x+2}{x+5} + \frac{3x+1}{x+5}\]

???

Answer 2

Yes, that is how it writes out to be. Would you like me to post the multiple choice answers for help?

Answer 3

no I know how to do this

Answer 4

Ok, that's what I thought.

Answer 5

The denominators are the same. So this means you can add the numerators and place that result over the same common denominator.

Answer 6

The numerators are 4x+2 and 3x+1

add them: 4x+2+3x+1 = ???

Answer 7

hold on...

Answer 8

alright

Answer 9

7x +3

Answer 10

you then place that over the LCD, which is x+5

Answer 11

so this is what you're doing


\[\large \frac{4x+2}{x+5} + \frac{3x+1}{x+5}\]


\[\large \frac{(4x+2)+(3x+1)}{x+5}\]


\[\large \frac{4x+2+3x+1}{x+5}\]


\[\large \frac{(4x+3x)+(2+1)}{x+5}\]


\[\large \frac{7x+3}{x+5}\]

Answer 12

again, I must emphasize this: you can only add the numerators ONLY if the denominators are the same

Answer 13

Fantastic explanation! Thank you very much. Mathematics do not come easy to me, I am more of a "right-brained" person. Although that is no excuse. :P Thanks again @jim_thompson5910

Answer 14

I'm sure with a lot of hard work, it will click eventually. So don't give up.

Answer 15

Glad to be of help

Answer 16

:)