MathDB
Repeating Decimal as Fraction

Source:

January 11, 2009

Problem Statement

When the repeating decimal 0.363636… 0.363636\ldots is written in simplest fractional form, the sum of the numerator and denominator is: <spanclass=′latex−bold′>(A)</span> 15<spanclass=′latex−bold′>(B)</span> 45<spanclass=′latex−bold′>(C)</span> 114<spanclass=′latex−bold′>(D)</span> 135<spanclass=′latex−bold′>(E)</span> 150 <span class='latex-bold'>(A)</span>\ 15 \qquad <span class='latex-bold'>(B)</span>\ 45 \qquad <span class='latex-bold'>(C)</span>\ 114 \qquad <span class='latex-bold'>(D)</span>\ 135 \qquad <span class='latex-bold'>(E)</span>\ 150
Back to ProblemsView on AoPS