Problem:
What is the minimum number of digits to the right of the decimal point needed to express the fraction as a decimal?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The numerator and denominator of this fraction have no common factors. To express the fraction as a decimal requires rewriting it with a power of 10 as the denominator. The smallest denominator that permits this is :
so the numeral will have places after the decimal point. In fact
The problems on this page are the property of the MAA's American Mathematics Competitions