Question

Write three rational expressions that simplify to x/x+1.

Answer 1

to get any equivalent expression, all you do is multiply top and bottom by the same number or expression

Answer 2

so say you multiply top and bottom by 2, you would get this

x/(x+1)

2x/(2(x+1))

Answer 3

does that make sense?

Answer 4

Okay, so I can multiply any number to get an equation that will simplify to x/x+1?

Answer 5

yes, another example below is multiplying top and bottom by 17

\[\Large \frac{x}{x+1}\]

\[\Large \frac{17x}{17(x+1)}\]

Answer 6

Oh okay, thank you! I understand now

Answer 7

also, you can use algebraic expressions

so instead of numbers like 2 and 17, you can use expressions like x, x+3, 2x-7, etc etc

Answer 8

just as long as you do it to BOTH top and bottom, it will remain equivalent