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| Question 428981:  I do not seem to understand reciprocals. I have a couple of problems as examples that I am trying to work through.
 The question is: Rewrite the division as multiplication by the reciprocal. Evaluate the expressions.
 
 3 divided by 1/4
 
 1/3 divided by 1/4
 3/4 divided by 2
 3/2 divided by 3
 the next couple of them I am also having problems with:
 evaluate the expressions:
 3/4 * 1/3
 -2/5 * 3/4
 7/8 * -1/4
 
 
 
 Answer by richard1234(7193)
      (Show Source): 
You can put this solution on YOUR website! To get a reciprocal you simply invert the fraction. For example, the reciprocal of 6/7 is 7/6. Also, the reciprocal of an integer, say -5, is -1/5, and vice versa. 
 To do the operation "3 divided by 1/4" you reciprocate 1/4 and multiply. Hence, 3 divided by 1/4 is the same as 3 times 4, or 12.
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