Question

what is the sum of 3/2x and 4/3x expressed in simplest form?

Answer 1

is 3/2x really \[\Large \frac{3}{2}x\] or is it \[\Large \frac{3}{2x}\] ???

Answer 2

it is 3 over 2x the 2nd choice

Answer 3

thanks

Answer 4

In order to add these fractions, we need the denominators to be the same

Answer 5

So how do we do that?

Answer 6

Any ideas?

Answer 7

is the answer 7/5x

Answer 8

not quite, you cannot just add the denominators

Answer 9

o then i dont know what to do

Answer 10

alright

Answer 11

We need the fractions to have the same and equal denominators.

Answer 12

So we must get each denominator equal to the LCD

Answer 13

the lcd of both numbers

Answer 14

The denominators are 2x and 3x. So the LCD is 6x


So multiply the first fraction by 3/3 to get

\[\Large \frac{3*3}{3*2x} = \frac{9}{6x}\]


and multiply the second fraction by 2/2 to get


\[\Large \frac{2*4}{2*3x} = \frac{8}{6x}\]

Answer 15

thank you i know what to do from here

Answer 16

So

\[\Large \frac{3}{2x}+\frac{4}{3x}\]

becomes

\[\Large \frac{9}{6x}+\frac{8}{6x}\]

and then you can add the numerators and place that over the LCD

Answer 17

You're welcome. Let me know what you get for your answer.

Answer 18

17/6x is that correct

Answer 19

you nailed it, very nice

Answer 20

thank you for helping

Answer 21

you're welcome

Answer 22

its 17/6x :)