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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
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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
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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 =
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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 :)
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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
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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)
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