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prealgebra junior

Problem

Connie multiplies a number by and gets as her answer. However, she should have divided the number by to get the correct answer. What is the correct answer?
(A)
(B)
(C)
(D)
Solution
If is the number, then and . Dividing the number by yields . A second way to do it is to divide the number by , as you multiplied by when you were supposed to divide by . So, .
Final answer
B