Ask your own question, for FREE!
Mathematics 7 Online
OpenStudy (anonymous):

Simplify the complex fraction.

OpenStudy (anonymous):

here is the complex fraction.

jigglypuff314 (jigglypuff314):

multiply top and bottom by 30t what would you get?

OpenStudy (anonymous):

you get

OpenStudy (anonymous):

i actually don't know

jigglypuff314 (jigglypuff314):

then let's break it down :) what is 2 30t --- x ---- = ? 5t 1

OpenStudy (anonymous):

60t --- 5t

jigglypuff314 (jigglypuff314):

which can be simplified :) because like how 2 over 2 = 1 t over t also equals 1 then simplify the 60 over 5

OpenStudy (anonymous):

12

jigglypuff314 (jigglypuff314):

yep! now let's do 3 30t -- x ---- = ? 3t 1

OpenStudy (anonymous):

90t --- = 30 3t

jigglypuff314 (jigglypuff314):

yep :D so for the numerator you now have 12 - 30 =

OpenStudy (anonymous):

-18

jigglypuff314 (jigglypuff314):

ok :) now let's do the denominator: 1 30t -- x ---- = ? 2t 1

OpenStudy (anonymous):

30t --- = 15 but times two since it is plus the same fraction so 30. 2t

jigglypuff314 (jigglypuff314):

correct! so now you have -18 over 30 =

OpenStudy (anonymous):

or -3/5

jigglypuff314 (jigglypuff314):

yep! :D

OpenStudy (anonymous):

thanks.

OpenStudy (anonymous):

hey do you think you have time to help me with another problem.

jigglypuff314 (jigglypuff314):

sure :)

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

Simplify the difference.

jigglypuff314 (jigglypuff314):

do you know how to factor b² - 2b - 8 = ?

OpenStudy (anonymous):

(b+4)(b-2)

jigglypuff314 (jigglypuff314):

mmm close :) check the signs

OpenStudy (anonymous):

(b-4)(b+2)

jigglypuff314 (jigglypuff314):

yep :) now factor b² + b - 2 = ?

OpenStudy (anonymous):

(b+2)(b-1)

jigglypuff314 (jigglypuff314):

yep! :) so now you have (b-4)(b+2) ---------- (b+2)(b-1) then the (b+2) s cancel out because like how 2 over 2 = 1 then what would you be left with? :)

OpenStudy (anonymous):

(b-4) ----- (b-1)

jigglypuff314 (jigglypuff314):

yep! :) and that would be your answer :)

OpenStudy (anonymous):

Thank you so much this has helped me so much.

jigglypuff314 (jigglypuff314):

glad I could help :)

OpenStudy (anonymous):

well i am gonna leave but thanks and good bye.

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!