Question

** I will give you a medal **
Simplify the complex fraction .
[(2)/(5t) - (3)/3t)]/[(1)/(2t) + (1)/(2t)]

Answer 1

@jim_thompson5910

Answer 2

what is the LCD of the following fractions

2/(5t)
3/(3t)
1/(2t)

?

Answer 3

i have no idea...

Answer 4

what is the LCM of 5t, 3t and 2t

Answer 5

t ?

Answer 6

t will be in it, but there's more to it

Answer 7

i want the LCM, not GCF

Answer 8

i don't understand..

Answer 9

the lowest common multiple of 5, 3, and 2 is 30 since 30 is the smallest number that is a multiple of all 3 numbers: 5, 3, 2

Answer 10

so the LCM of 5t, 3t, and 2t is 30t

Answer 11

oh okay. i see it.

Answer 12

therefore, the LCD of these fractions

2/(5t)
3/(3t)
1/(2t)

is 30t

Answer 13

turns out that if you multiply every term and fraction by the LCD, you'll clear out the fractions

Answer 14

okayy.

Answer 15

example:

2/(5t) times 30t = 60t/5t = 12

notice how the fraction is now gone

Answer 16

yeah.. so i do that to all 3 of those fractions?

Answer 17

yes you do it to every fraction and term

Answer 18

this is so you balance everything out and don't change anything

Answer 19

okay so i got 12, 30, and 15

Answer 20

what do i do now ?

Answer 21

-(3)/3t times 30t = -90t/3t = -30

Answer 22

I think that's what you meant

Answer 23

yes, i forgot the negative sign

Answer 24

so

[(2)/(5t) - (3)/3t)]/[(1)/(2t) + (1)/(2t)]

turns into

[12 - 30]/[15 + 15]

Answer 25

so i got -18/30 which equals -9/15

Answer 26

no.. it equals.. -6/10

Answer 27

and that can be further reduced

Answer 28

which equals ... -3/5

Answer 29

even further

Answer 30

good, -3/5 is your final answer

Answer 31

thank you (: (:

Answer 32

sure thing