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### Unit 2: Lesson 3

Understanding multiplying and dividing fractions

# Negative signs in fractions

Sal finds equivalent expressions to -g/h.

## Want to join the conversation?

• Here's my understanding of this. There are 8 possible combinations: x/y, -x/y, x/-y, -x/-y, -(x/y), -(-x/y), -(x/-y), and -(-x/-y). They can all be simplified to either x/y or -(x/y), which is x/y positive or negative. When there's no negative sign before the whole expression (the first 4 combinations), normal rules apply (pos/pos = pos, pos/neg = neg, neg/pos = neg, neg/neg = pos). When there is a negative sign before the expression (the last 4 combinations), the opposite rules apply (i.e. evaluate the expression as if it wasn't there and then take the negative of the result you get). • • • • At why can you put the negative sign on the top, bottom, or middle? Shouldn't it matter where it goes?
(1 vote) • • • There are a lot of places to put the negative sign, if that's what you mean! They're all just ways of showing whether or not the number is negative. Depending on how you work with an operation, the negative number may end up in different spots.

Needless to say, sometimes I get mixed up as well. I just count the number of negative signs applying to the fraction and decide if it's a negative number with the rule that if there's an even number of "-" signs it's a positive; if there's an odd number, it's negative.
(1 vote)
• It seems like conflicting information to say that you can multiply the negative sign that's in FRONT of an entire fraction by either the numerator (at ) or the denominator (at ). The contradiction is confusing.   