How do you add #\frac { 6} { w + 3} + \frac { 6} { 5w } + \frac { 18} { w ^ { 2} + 3w }#?

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Answer 1 · 2017-03-10T20:49:27

#=12/w#

Factorise the denominator.

#6/(w+3)+6/(5w)+18/(w(w+3))" "larr# find the LCD

#=(6w +6(w+3)+18)/(w(w+3))" "larr# convert to equivalent fractions

#= (6w +6w+18+18)/(w(w+3))#

#=(12w +36)/(w(w+3))" "larr# factorise the numerator

#= (12(w+3))/(w(w+3))#

#=12/w#