Question: Where must I placed the an unfavorable sign as soon as I am creating a fraction like negative two thirds?
Answer: As long as you create onlyone an adverse sign, the does not issue where you put it.
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Two ideas are helpful to keep in mind during the explanation that follows:– subtraction is the same thing together the addition of a negative.– The an adverse of a number have the right to be created by multiplying the number by an unfavorable one.
These principlesapply come fractions together well, so:
Placing the negative sign prior to the entire portion (subtracting the fraction) is identical to including the exact same fraction, but with a an unfavorable numerator. Yet this is no the just option…
Recallhow equivalent fractions are created: multiply the original portion by a fractionthat amounts to one,where numerator and denominator have actually the exact same value. If us multiply the above result by 1 in the kind of a an unfavorable one separated by chin to create an additional equivalent fraction:
we finish up through the negative sign in the denominator. Summarizing these equivalent portion results:
As long as over there is just one an adverse sign, one of two people in front of the fraction, or in the numerator, or in the denominator, the fraction represents a negative quantity. As the examples above illustrate, you space welcome to move the an unfavorable sign around from wherein it is to one of two people of the other two positions… whichever is many convenient for you.
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If there room two fractions gift subtracted, and also you move the individually sign into the molecule or denominator the the fraction being subtracted, placed a plus sign where the subtraction authorize was (subtracting is the very same as including a negative):
However, note that the an unfavorable sign have to be applied to the entire numerator, or the entire denominator. So, in situations withmore than one hatchet in the molecule or denominator, the an adverse sign will have to be spread if it is moved to the molecule or denominator:
If the last action in the above two instances surprised or confused you, my article on an unfavorable Differences may aid clear increase the confusion.
If you have other inquiries (like the one at the top of this post), please ask lock in a comment!