Question

Express the following decimal in the form `p/q`: `0.bar4`

Answer 1

Let `x=0.bar4`

⇒ x = 0.44444....

⇒ 10x = 4.444....

⇒ 10x = 4 + x

⇒ 9x = 4

⇒ x = 4/9

Hence, `0.bar4=4/9`