How do you subtract #\frac { 5} { 7w ^ { 2} - 7w } - \frac { 9} { 7w - 7}#?

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Answer 1 · 2017-07-20T21:41:48

See a solution process below:

To add or subtract fractions both fractions must be over a common denominator. We can multiply the second fraction by the appropriate form of #1#:

#5/(7w^2 - 7w) - 9/(7w - 7) => 5/(7w^2 - 7w) - [w/w xx 9/(7w - 7)] =>#

#5/(7w^2 - 7w) - (9w)/(w(7w - 7)) =>#

#5/(7w^2 - 7w) - (9w)/(7w^2 - 7w)#

We can now subtract the numerators over the common denominator:

#(5 - 9w)/(7w^2 - 7w)#

Or

#(-9w + 5)/(7w^2 - 7w)#