i need step by step help with adding, sub., mul, and div. fractions

## 3/4y^3+2y/6y^2

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# 1 Answer

Without parenthesis I read this as 3/(4y

^{3}) + (2y)/(6y^{2}).ADDING: find common denominators. Both have a y in the denominator but have different exponents & different coefficients. To get the same coefficients you must multiply the top & bottom by a number which will make the coefficients the same. Simplest way
is to say one has a 4 and the other has a 6, multiply each by the opposite number.

The first part: (6/6) x 3/(4y

^{3}) = 18/(24y^{3}) The second part (4/4) x (2y)/(6y^{2}) = (8y)/(24y^{2})The second part can be multiplied by y/y, y/y x (8y)/(24y

^{2}) = (8y^{2})/(24y^{3})the result is 18/(24y

^{3}) + (8y^{2})/(24y^{3}) = (18+8y^{2})/(24y^{3}), Now simplify by factoring a 2 from the top and bottom.(2(9+4y

^{2})/(2(12y^{3}) = (9+4y^{2})/(12y^{3})My laptop is about to die so I will be back later to answer more. I hope this is step by step enough to help you see everything. Remember adding and subtracting require common denominator.