Show that 0.4444... = can be expressed in the form where p and q are integers and q ≠ 0.

Step-by-step solution

Let x = 0.4444..... = 10 x = 4.4444..... = [Multiplying both sides by 10] 10 x = 4 + = 4 + x 10 x – x = 4 9 x = 4 x =