Negative signs in fractions, Mathematics

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Q. Negative Signs in Fractions?

It really doesn't matter where you put a negative sign in a fraction. The following are all the same:

1094_Negative Signs in Fractions.gif

The negative sign can go in the numerator, the denominator, or the whole fraction.

Two negatives make a positive. So these fractions:

340_Negative Signs in Fractions1.gif


are all the same as the positive fraction.

What about 3 negatives? Well, two of them make a positive, and that leaves one left over:

1850_Negative Signs in Fractions2.gif

Be careful: What I just said works only if the negative sign is on the whole numerator or denominator (not just part of the numerator or denominator) Here are examples:

421_Negative Signs in Fractions3.gif

What about zeros? Any fraction with zero in the numerator is automatically zero, which means it's neither negative nor positive:

244_Negative Signs in Fractions4.gif

(But remember you can't have a zero denominator, no matter what!)

More complicated examples: Keep in mind that the numerator or denominator might be some complicated expression that needs to be simplified first:

277_Negative Signs in Fractions5.gif


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