SOLUTION: How do I simplify these three problems? 1.) 15 + 16a / 19b 2.) 12x / 2y * 29y^2 / 24x^3 3.) 5(a^2+5a+6) / 3(a^2-49) * 57(a+3) / 12(a+7)

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: How do I simplify these three problems? 1.) 15 + 16a / 19b 2.) 12x / 2y * 29y^2 / 24x^3 3.) 5(a^2+5a+6) / 3(a^2-49) * 57(a+3) / 12(a+7)       Log On


   

Question 312190: How do I simplify these three problems?

1.) 15 + 16a / 19b

2.) 12x / 2y * 29y^2 / 24x^3

3.) 5(a^2+5a+6) / 3(a^2-49) * 57(a+3) / 12(a+7)


Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
15%2B%2816a%2F19b%29
%2819b%2F19b%2915%2B%2816a%2F19b%29
%28%2819b%2A15%29%2F19b%29%2B%2816a%2F19b%29
%28285b%2B16a%29%2F%2819b%29
hmm its already in lowest terms unless u are looking for the conbined answer above


im going to assume its a fraction times a fraction as u didnt specify???
%2812x%2F2y%29%2829y%5E2%2F24x%5E3%29
%2812%2F2%29%2829y%2F24x%5E2%291x and 1 y can be cross cancelled
%286%29%2829y%2F24x%5E2%29 12/2=6
%286%29%2829y%2F24x%5E2%296 goes into 24 4 times
%2829y%2F4x%5E2%29thats simplified


im going to assume its a fraction times a fraction as u didnt specify???
factor trinomials

%28285%28a%2B2%29%28a%2B3%29%28a%2B3%29%29%2F%2836%28a-7%29%28a%2B7%29%28a%2B7%29%29
%2895%28a%2B2%29%28a%2B3%29%28a%2B3%29%29%2F%2812%28a-7%29%28a%2B7%29%28a%2B7%29%29 thats as simplified as i know how to get it