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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

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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


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