How do you divide #\frac { 9x - 54} { 7} \div \frac { x - 6} { 3}#?

1 Answer
EZ as pi
Apr 5, 2018

#27/7=3 6/7#

Explanation:

Factorise first - we would like to be able to simply by cancelling, but this can only happen with factors, not terms.

#(9x-54)/7 div (x-6)/3#

#= (9(x-6))/7 xx 3/(x-6)" "larr# multiply by the reciprocal

#= (9cancel((x-6)))/7 xx 3/cancel((x-6))#

#=27/7#

#=3 6/7#

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