SOLUTION: Question: find an expression equivalent to the one below (0.3667)(0.8333)(0.3333)/(0.4444)(0.6667)(0.125) the correct answer is: [(11/30)(5/6)(1/3)/(4/9)(2/3)(1/8)] = 1

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Question: find an expression equivalent to the one below (0.3667)(0.8333)(0.3333)/(0.4444)(0.6667)(0.125) the correct answer is: [(11/30)(5/6)(1/3)/(4/9)(2/3)(1/8)] = 1      Log On


   

Question 150145This question is from textbook
: Question:
find an expression equivalent to the one below
(0.3667)(0.8333)(0.3333)/(0.4444)(0.6667)(0.125)
the correct answer is:
[(11/30)(5/6)(1/3)/(4/9)(2/3)(1/8)]
= 11/4
= 2.75
I understand how to turn everything into fractions but the explanation in the answer states "Simplify the fraction in the beginning of the solution...". How do you go about simplifying [(11/30)(5/6)(1/3)/(4/9)(2/3)(1/8)] to get to the next step 11/4?
regards,
Tres. This question is from textbook

Answer by leo4frio(2) About Me  (Show Source):
You can put this solution on YOUR website!
Good job, that first part is really the trickiest. Looking at all these fractions we must remember that the first three are being divided by the last three %28%2811%2F30%29%285%2F6%29%281%2F3%29%29%2F%28%284%2F9%29%282%2F3%29%281%2F8%29%29 but instead of dividing we must multipy by the reciprocals of the last three. So we should change it to %2811%2F30%29%285%2F6%29%281%2F3%29%289%2F4%29%283%2F2%29%288%2F1%29 which makes simplifying do-able. 3%2F3 cancels out, as does 8%2F%284%2A2%29, then 5%2F30 turns into 1%2F6. At this point I would re-write what we're now left with, %2811%2F6%29%289%2F6%29 or %2811%2F1%29%289%2F36%29 simplified to 11%2F4.