Question

Complex fraction help?

Answer 1

simplify the complex fraction

K+7 over K^2+5k+6 over K+6+ over K+2

Answer 2

put that in equation form please

Answer 3

i bet i can solve this i literally just learned this

Answer 4

its literally that lol it wont let me

Answer 5

lets see

Answer 6

\[\frac{ \frac{ k+7 }{ k^2+5k+6 } }{ \frac{ k+6 }{ k+2 } }\]

Answer 7

yeah lol

Answer 8

alright here is what you do. it's not even a complex fraction basically

Answer 9

take the "denominator" and flip it so you can multiply it with the numerator

Answer 10

let me write it out

Answer 11

\[\frac{ k+7 }{ k^2+5k+6 }\times \frac{ k+2 }{ k+6 }\]

Answer 12

now, you want to see what terms you can cross out here

Answer 13

ok i had trouble with these so i might get it wrong

Answer 14

it's best if you factor our the k^2+5k+6

Answer 15

which are...?

Answer 16

I wanna say

Answer 17

as your answer?

Answer 18

to get an answer you must factor k^2+5k+6

Answer 19

what 2 numbers add up to 5 and multiply to 6?

Answer 20

3 and 2?

Answer 21

sorry im dumb lol

Answer 22

good. therefore k^2+5k+6=(k+2)(k+3)

Answer 23

amazing with history, stupid with math xD

Answer 24

ohhh

Answer 25

so did i get my answer correct

Answer 26

\[\frac{ k+7 }{ (k+2)(k+3) }\times \frac{ k+2 }{ k+6 }\]

Answer 27

what terms are the same with one in the numerator and denominator?

Answer 28

note: you can cross out 2 terms if one appears on the numerator and denominator

Answer 29

well they all are K+ something which is what confuses me lol

Answer 30

that also has the same number after it?

Answer 31

okay its call headphone method
multiply a and c first