how do you simplify this complex fraction?
2+13/w + 6/w2
_____________
1+11/w + 30/w2
2+13/w + 6/w2
_____________
1+11/w + 30/w2
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Multiply both numerator and denominator by w^2 to get:
( 2w^2 + 13w + 6 ) / ( w^2 + 11w + 30 )
Factor:
(2w+1)(w+6) / (w+5)(w+6)
Cancel the common factor of (w+6):
(2w+1) / (w+5)
or if you prefer: 2 - 9/(w+5)
( 2w^2 + 13w + 6 ) / ( w^2 + 11w + 30 )
Factor:
(2w+1)(w+6) / (w+5)(w+6)
Cancel the common factor of (w+6):
(2w+1) / (w+5)
or if you prefer: 2 - 9/(w+5)