The answer is: "5/9 of a bottle" . _________________________________ Explanation: ______________________________________________ (1/3) / (3/5) = x / (5/5) ; solve for "x" ; in which "x" is the number of bottles used to clean the whole bottle;
Rewrite as:
(1/3) / (3/5) = x / (1) ;
Rewrite as: (1/3) / (3/5) = x ;
{since "x / 1 = x" ; since any value, divided by "1", results in that same value}. _________________________________________ (1/3) / (3/5) = x
(1/3) / (3/5) = (1/3) * (5/3) = (5*1) / (3*3) = x = 5/9 . _________________________________ The answer is: "5/9 of a bottle" . _________________________________
The whole bathroom means 1. Next, what we have to do is compare the statements. That will be; 3/5 of bathroom=1/3 solution 1=Y I represented the unknown with Y Next, you need to cross and multiply. That means 1 will multiply 1/3 to give 1/3 and Y will multiply 3/5 to give 3Y/5. So you will have; 3Y/5=1/3 Cross and multiply again. 5 will multiply 1 to give 5 and 3Y will multiply 3 to give 9Y. That will be; 9Y=5 Divide both sides by 9. That will be; Y=5/9 The answer is 5/9 of the bottle. Hope that helped. Have a nice day