Question

Write 0.05 as a fraction. A) 1 12 B) 1 15 Eliminate C) 1 18 D) 1 9

Answer 1

`x=0.0\overline{5}\\\\x=0.0555...\qquad\text{multiply both sides by 10}\\\\10x=0.555...\qquad\text{multiply both sides by 10}\\\\100x=5.555...\\\\\text{Make the difference:}\\\\100x-10x=5.555...-0.555...\\\\90x=5\qquad\text{divide both sides by 90}\\\\x=(5)/(90)\\\\x=(5:5)/(90:5)\\\\x=(1)/(18)\\\\Answer:\ \boxed{0.0\overline{5}=(1)/(18)}\to\boxed{C)}`