SOLUTION: I'm confused to how (1*3*3)(3/4)/(-9/20) equals -5/3 or -1 2/3. Could you please explain. I saw it in my cousins algebra book and don't see how it equals those answers

Algebra ->  Exponents -> SOLUTION: I'm confused to how (1*3*3)(3/4)/(-9/20) equals -5/3 or -1 2/3. Could you please explain. I saw it in my cousins algebra book and don't see how it equals those answers      Log On


   



Question 902929: I'm confused to how (1*3*3)(3/4)/(-9/20) equals -5/3 or -1 2/3.
Could you please explain. I saw it in my cousins algebra book and don't see how it equals those answers

Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
Work within grouped expressions first. You can treat each of those grouped expressions separately first.

9%2A%283%2F4%29%2F%28-9%2F20%29

The fraction bar IS another grouping symbol. The lowest common denominator for this ...? No... better, the way you divide by a fraction is to multiply by its reciprocal.

%289%2A%283%2F4%29%29%28-20%2F9%29

Now you can group the numerator factors and group the denominator factors, separately:

%289%2A3%2A%28-20%29%29%2F%284%2A9%29

Cancel any redundant factors of 1.

%289%2A3%2A%28-1%29%284%2A5%29%29%2F%284%2A9%29

%28-3%2A5%29

highlight%28-15%29