How do you evaluate #\frac { 2} { 3u ^ { 2} w } - \frac { 5} { 6u w ^ { 2} }#?

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Answer 1 · 2017-12-11T04:28:03

#color(blue)((4w-5u)/(6u^2w^2))#

We have a rational expression with two terms:

#color(red)(2/(3u^2w)-5/(6uw^2)# #color(blue)(.... Expression.1)#

The common denominator for these two terms is #color(red)(6u^2w^2)#

Next, we will simplify

#color(red)(2/(3u^2w)-5/(6uw^2)#

using the common denominator #color(red)(6u^2w^2)# as

#color(green)(rArr (2(2w) - 5(u))/(6u^2w^2))#

#color(green)(rArr (4w - 5u)/(6u^2w^2))#

I hope this helps.