- #1

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simplify

__3p-3q__

5p-5q

My first reaction was to remove a factor of p-q but that would leave

__p-q(3-3)__

p-q(5-5)

Which would be 0/0. I know the answer is 3/5 but I just can't see why.

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- Thread starter smulc
- Start date

- #1

- 33

- 0

simplify

5p-5q

My first reaction was to remove a factor of p-q but that would leave

p-q(5-5)

Which would be 0/0. I know the answer is 3/5 but I just can't see why.

- #2

CAF123

Gold Member

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- #3

Mark44

Mentor

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The above is incorrect, and simplifies to 1, assuming p ≠ 0. This is based on what you wrote, which might not be what you intended.I feel stupid asking this, but I just can't see it. I need to simply this and I already know the answer, but I don't know why this is the answer.

simplify

3p-3q

5p-5q

My first reaction was to remove a factor of p-q but that would leave

p-q(3-3)

p-q(5-5)

The simplest way to go would be to notice that 3 is a factor of the terms in the numerator, and that 5 is a factor of the terms in the denominator. The original expression can be written like so:

$$ \frac {3(p - q)}{5(p - q)}$$

Of course, this can be simplified further.

Which would be 0/0. I know the answer is 3/5 but I just can't see why.

- #4

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That makes perfect sense now. Thanks for explaining it.

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