what is .69 repeating in its simplest form? I need help

2 answers

x = 0.6969...

100 x = 0.6969... * 100 = 69.6969...

100 x - x = 99 x = 69.6969... - 0.6969... = 69

99 x = 69

3 * 33 x = 3 * 23 Divide both sides by 3

33 x = 23 Divide both sides by 33

x = 23 / 33

0.6969... = 23 / 33
thx