# pre algebra - fractions - parentheses

by shannon
(pinehill)

how do you solve (2/3 + 1/6) = 2/3 + (1/6 + 1/3)

Is this equality true or false?

hint: switch the parentheses on the right side using the Associative Property of Addition.

### Comments for pre algebra - fractions - parentheses

 Jan 30, 2011 pre algebra - fractions - parentheses by: Staff The question: by Shannon (Pine Hill, New Jersey, USA) how do you solve (2/3+1/6)=2/3+(1/6+1/3) The answer: The fastest way to see if this expression is a valid equality is to switch the parentheses on the right side using the Associative Property of Addition. Associative Property of Addition: Any series of addends can be grouped in any way and added in any order without changing the results. (2/3 + 1/6) = 2/3 + (1/6 + 1/3) (2/3 + 1/6) = (2/3 + 1/6) + 1/3 It is now obvious that the value on the right side of the equal sign is 1/3 larger than the value on the left side of the equal sign. Therefore, the expression should read: (2/3 + 1/6) ≠ (2/3 + 1/6) + 1/3 Or (2/3 + 1/6) < (2/3 + 1/6) + 1/3 Thanks for writing. Staff www.solving-math-problems.com