Asked by maryam
show that 0.27 (both recurring) can be written as 3/11?
Answers
Answered by
Bosnian
x = 0.27272727...
100 x = 100 * 0.27272727...
100 x = 27.27272727...
100 x - x = 99 x =
27.27272727... - 0.27272727... = 27
99 x = 27
9 * 11 x = 9 * 3 Divide both sides by 9
11 x = 3 Divide both sides by 11
x = 3 / 11
100 x = 100 * 0.27272727...
100 x = 27.27272727...
100 x - x = 99 x =
27.27272727... - 0.27272727... = 27
99 x = 27
9 * 11 x = 9 * 3 Divide both sides by 9
11 x = 3 Divide both sides by 11
x = 3 / 11