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Mathematics 23 Online
OpenStudy (anonymous):

Divide 6(x-5)/2(x-5)

OpenStudy (anonymous):

\[6(x-5)/(2(x-5))\]Is this right?

OpenStudy (anonymous):

Yes

OpenStudy (anonymous):

Okay. First start by dividing out any common denominators from the numerator and denominator.

OpenStudy (anonymous):

As in: What number divides both 6 and 2 evenly?

OpenStudy (anonymous):

Correct. So then divide both the numerator and the denominator by 2.

OpenStudy (anonymous):

3, 1

OpenStudy (anonymous):

3(x-5)?

OpenStudy (anonymous):

Yes. Then you have the expression:\[3(x-5)/(x-5)\]What is a common factor now?

OpenStudy (anonymous):

x-5

OpenStudy (anonymous):

Correct. Now divide top and bottom by (x-5).

OpenStudy (anonymous):

3

OpenStudy (anonymous):

There you go. Good job.

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