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# What is the associative property of rational numbers with respect to addition?

**Solution:**

**
**In math, the associative and commutative properties are laws applied to addition and multiplication that always exist.

**Associative property of addition of rational numbers**

The associative property states that you can re-group numbers and you will get the same answer.

Changing the grouping of addends does not change the sum.

( a + b ) + c = a + ( b + c ) for any three rational numbers a, b, c

For example,

$( \frac{5}{2} + \frac{3}{4} ) + \frac{4}{1} = \frac{5}{2} + ( \frac{3}{4} + \frac{4}{1} )$

LHS = $\frac{13}{4} + \frac{4}{1} = \frac{29}{4}$;

RHS = $\frac{5}{2} + \frac{19}{4} = \frac{29}{4}$;

**So LHS = RHS**

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