Express in the form , where p and q are integers and q ≠ 0.

Let x = 0.6

Multiply by 10 on both sides,


10x = 6


x = 6/10


x = 3/5


So, the p/q form of 0.6 = 3/5


Let y =


Multiply by 10 on both sides,


10y =


10y – y = -


= 7.7777777……. – 0.7777777…………..


9y = 7


y = 7/9


So the p/q form of = 7/9


Let z =


Multiply by 10 on both sides,


10z =


10z – z = -


= 4.7777777…………. – 0.47777777……………………


9z = 4.2999


z ≈ 4.3/9


z = 43/90


So the p/q form of


= 43/90



=




2