Question

What is the simplified form of 1/b - 1/a/1/b + 1/a

Answer 1

Question:

Answer 2

Answer choices:

Answer 3

@Destinymasha @phi @Punkchick @Luigi0210 @Callisto @marylou004 @emily_grace2 Help me out please :)

Answer 4

Get common denominators first~

Answer 5

How do I do that?

Answer 6

@tHe_FiZiCx99 @wolf1728 Can you help?

Answer 7

In order to combine fractions(when adding/subtracting) you have to get common denominators. so multiply each by a and b to get:
\[\Huge \frac{(\frac{a}{a}*\frac{1}{b})-(\frac{b}{b}*\frac{1}{a})}{(\frac{a}{a}*\frac{1}{b})+(\frac{b}{b}*\frac{1}{a}})\]

Answer 8

Doing that without equation editor is frustrating .-.

Answer 9

Thank you :) How would I get the answer?

Answer 10

Multiply it out and get:
\[\Huge \frac{\frac{a}{ab}-\frac{b}{ab}}{\frac{a}{ab}+\frac{b}{ab}}\]
So now you can add/subtract them:
\[\Huge \frac{\frac{a-b}{ab}}{\frac{a+b}{ab}}\]
Do you know what to do when you have a fraction divided by a fraction?

Answer 11

Umm I kinda remember haha Multiply..something?

Answer 12

Uhm, yea. Take the bottom fraction, flip it and then multiply it:
\[\Huge \frac{\frac{a-b}{ab}}{\frac{a+b}{ab}}=\frac{a-b}{\color{red}{ab}}*\frac{\color{red}{ab}}{a+b}\]
And if you cancel the ab's
\[\Huge\frac{a-b}{1}*\frac{1}{a+b}\]
What do you get now?

Answer 13

I don't know..do you flip it again and divide? I haven't done this stuff for months, I'm sorry

Answer 14

._.
You just multiply >.>
\[\huge \frac{a-b}{a+b}\]

Answer 15

Oh okay haha That was too easy, I made it look difficult. Thank you so much!

Answer 16

You're welcome~