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4/x+5/y divide 3/x+7/y

simplify complex fraction thank you show work

1 answer

( 4 / x + 5 / y ) / ( 3 / x + 7 / y ) =

[ ( 4 * y + 5 * x ) / ( x y ) ] / [ ( 3 * y + 7 * x ) / ( x y ) ] =

[ ( 5 x + 4 y ) / ( x y ) ] / [ ( 7 x + 3 y ) / ( x y ) ] =

[ ( 5 x + 4 y ) * x y ] / [ ( 7 x + 3 y ) * ( x y ) ] =

( 5 x + 4 y ) / ( 7 x + 3 y )