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

Question

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

 

 

Answer 1

Without parenthesis I read this as 3/(4y³) + (2y)/(6y²).

 

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/(4y³) = 18/(24y³)  The second part (4/4) x (2y)/(6y²) = (8y)/(24y²)

 

The second part can be multiplied by y/y, y/y x (8y)/(24y²) = (8y²)/(24y³)

 

the result is 18/(24y³) + (8y²)/(24y³) = (18+8y²)/(24y³), Now simplify by factoring a 2 from the top and bottom.

 

(2(9+4y²)/(2(12y³) = (9+4y²)/(12y³)

 

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.