document.write( "Question 1130342: Hi!I was wondering if you could please help me figure out this problem.My teacher assigned it to me but did very little explaining on how to do it.P.s-solving for c. 4/5 divided by c = 2/5.Thanks for the help \n" ); document.write( "
Algebra.Com's Answer #747050 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "Sometimes you have to ignore the preachings of tutor @maththerapy. Obviously there is not only \"1 CORRECT way\" to solve this problem. And the convoluted method he uses to solve the problem is DEFINITELY NOT the SIMPLEST.

\n" ); document.write( "Tutor @theo provides several valid options, all of which are less work than what @maththerapy does.

\n" ); document.write( "The easiest way to work this problem is to recognize that 2/5 is just half of 4/5 (listen to the words, if you don't see it in the written fractions). Since 2/5 is half of 4/5, the 4/5 must have been divided by 2 to get the 2/5.

\n" ); document.write( "That method of solution admittedly won't be seen by most people. So the next best way to solve the problem, in my opinion, is to know that (a/c) divided by (b/c) is just a/b. So (4/5) divided by (2/5) is just 4/2 = 2.

\n" ); document.write( "It always works that way. In elementary school you are told that, to divide fractions, you \"flip\" the second fraction and multiply. When you do that with a problem like this, the denominators cancel:

\n" ); document.write( "\"%28a%2Fc%29%2F%28b%2Fc%29+=+%28a%2Fc%29%28c%2Fb%29+=+a%2Fb\"

\n" ); document.write( "This method is equivalent to one of the methods suggested by @theo: multiply both fractions by their common denominator, 5:

\n" ); document.write( "\"%284%2F5%29%2F%282%2F5%29+=+%285%284%2F5%29%29%2F%285%282%2F5%29%29+=+4%2F2+=+2\"

\n" ); document.write( "And you can always use the straightforward process taught in elementary school, without realizing there is a shortcut:

\n" ); document.write( "\"%284%2F5%29%2F%282%2F5%29+=+%284%2F5%29%2A%285%2F2%29+=+20%2F10+=+1\"
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