Question: Where need to I put the negative sign when I am writing a portion like an unfavorable two thirds?

Answer: As long as you write onlyone an adverse sign, that does not issue where you put it.

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Two concepts are helpful to save in mind during the explanation the follows:– individually is the very same thing as the addition of a negative.– The an adverse of a number deserve to be produced by multiplying the number by an unfavorable one.

These principlesapply come fractions together well, so:

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Placing the negative sign prior to the entire fraction (subtracting the fraction) is identical to including the very same fraction, but with a an adverse numerator. However this is no the only option…

Recallhow identical fractions are created: main point the original fraction by a fractionthat equates to one,where numerator and denominator have actually the same value. If us multiply the above result by 1 in the kind of a an unfavorable one divided by itself to create one more equivalent fraction:

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we finish up v the negative sign in the denominator. Summarizing these equivalent fraction results:

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As long as there is only one an unfavorable sign, either in prior of the fraction, or in the numerator, or in the denominator, the portion represents a an adverse quantity. Together the examples above illustrate, you room welcome to move the an adverse sign roughly from where it is to either of the various other two positions… whichever is many convenient for you.

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If there space two fractions being subtracted, and you move the subtraction sign right into the molecule or denominator the the fraction being subtracted, put a plus sign where the subtraction authorize was (subtracting is the very same as including a negative):

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However, note that the negative sign have to be used to the entire numerator, or the entire denominator. So, in instances withmore 보다 one ax in the molecule or denominator, the an unfavorable sign will have to be distributed if that is moved to the molecule or denominator:

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or

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If the last action in the over two instances surprised or perplexed you, my article on an unfavorable Differences may help clear increase the confusion.

If you have other inquiries (like the one in ~ the height of this post), you re welcome ask lock in a comment!