Question

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Write the following expressions as one fraction: (7x+4/8y) − (3x−1/6y)

Answer 1

`(7x+4)/(8y)-(3x-1)/(6y)\\\\\text{common denominator is 24y}\\\\=((3)(7x+4))/((3)(8y))-((4)(3x-1))/((4)(6y))\\\\\text{use distributive property}\\\\=((3)(7x)+(3)(4))/(24y)-((4)(3x)+(4)(-1))/(24y)\\\\=(21x+12)/(24y)-(12x-4)/(24y)\\\\=(21x+12-(12x-4))/(24y)\\\\=(21x+12-12x+4)/(24y)\\\\\text{combine like terms}\\\\=((21x-12x)+(12+4))/(24y)\\\\=\boxed{(9x+16)/(24y)}`