Question

0.444 repeating as a fraction

Answer 1

To convert a repeating decimal to a fraction, you first need to identify the repeating pattern. In this case, the repeating pattern is "4".

Let x = 0.4444...

Multiplying both sides of the equation by 10, we get:

10x = 4.4444...

Subtracting the original equation from the above equation, we have:

10x - x = 4.4444... - 0.4444...

Simplifying both sides of the equation:

9x = 4

Dividing both sides by 9, we get:

x = 4/9

Therefore, 0.4444... as a fraction is 4/9.