Question

what says that i can do this:\[{a+b\over c}={{a\over c}+{b\over c}}\]

Answer 1

yup, u can do that

Answer 2

yes i know i can, but what says i can?

Answer 3

means there's some property?

Answer 4

yea some property or theorem

Answer 5

any options?

Answer 6

nope...free response

Answer 7

if the denominator is common u can combine the numerator.....

Answer 8

i can't think of 1 word for it

Answer 9

what property says i can do this....there apparently is one and i cant remember or know what D:

Answer 10

@Hero and/or @lgbasallote

Answer 11

It's called splitting the fraction. I'm not sure if there is a specific property for splitting the fraction, but the main thing is, both sides are equal.

Answer 12

okay what im asking is that what says that i can separate the denominator like that?

Answer 13

@jim_thompson5910

Answer 14

could it be the transitive property?

Answer 15

please say yes ^_^

Answer 16

hmm the closure of addition over the rational numbers?

Basically, adding any two rational numbers gives you a rational number. So you can take it reverse.

Answer 17

i need the name of a property..my teacher said dont tell abut processes only properties

Answer 18

about

Answer 19

ok let me look

Answer 20

Addition Property of Equality

Answer 21

k

Answer 22

It's addition property of equality for fractions essentially

Answer 23

guess that makes sense...thanks you guys :))