SOLUTION: Divide. 2x-6/21 divide 5x-15/12

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Question 97946: Divide.
2x-6/21 divide 5x-15/12

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression


Multiply by the reciprocal of the second fraction



Factor out 2 out of


Factor out 5 out of


Cancel out like terms


Simplify


Multiply the two fractions


Simplify

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
[(2x-6)/21] / [(5x-15)/12]

Invert and multiply:
[(2x-6)/21] * [12/(5x-15)]
Cancel the 3 factor common to numerator and denominator to get:
[(2x-6)/7] * [4/(5x-15)]
Factor to get:
[2(x-3)/7] * [4/(5(x-3)]
Cancel the (x-3) factor common to numerator and denominator to get:
[2/7]
= 8/35
==============
cheers,
Stan H.



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