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7/12-(-3/4)+(-1/8)=Evalute the expression.  Do we have to find a common denominator...

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megan-westerf... | (Level 1) Salutatorian

Posted September 28, 2011 at 5:40 AM via web

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7/12-(-3/4)+(-1/8)=

Evalute the expression.  Do we have to find a common denominator for all three variables before we solve.

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Matthew Fonda | eNotes Employee

Posted September 28, 2011 at 6:06 AM (Answer #1)

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To add or subtract fractions, finding a common denominator is generally the easiest method.

With this problem, we first notice that we are subtracting a negative number, and adding a negative number, so we can rewrite this as adding and subtracting.

`7/12 + 3/4 - 1/8 = ?`

We will then rewrite the terms using the common denominator 24:

`14/24 + 18/24 - 3/24 = ?`

At this point we can now simply add:

`14/24 + 18/24 - 3/34 = 29/24`

We notice that we cannot simplify any further, so we can report our answer as `29/24` , or equivalently as the mixed fraction `1 5/24`

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