Difference between revisions of "1995 AJHSME Problems/Problem 3"
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* [[AJHSME Problems and Solutions]] | * [[AJHSME Problems and Solutions]] | ||
* [[Mathematics competition resources]] | * [[Mathematics competition resources]] | ||
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Latest revision as of 23:15, 4 July 2013
Problem
Which of the following operations has the same effect on a number as multiplying by 
and then dividing by 
?
Solution
Dividing by 
is the same as multiplying by its reciprocal, 
.
Multiplying a number by two numbers is the same as multiplying the number by the product of those two numbers. Thus, multiplying by 
and then is the same as multiplying by 
, and the answer is 
.
See Also
| 1995 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
