How do you turn 0.5 repeating into a fraction?

Answer 1

F = 0.555....

10F = 5.555...

Subtracting the first from the second gives: 9F = 5

and so F = 5/9

Answer 2

To turn 0.5 repeating into a fraction, we can represent it as a geometric series. Let x = 0.5 repeating. Multiplying x by 10, we get 10x = 5.5555... Subtracting x from 10x, we have 10x - x = 5.5555... - 0.5555..., which simplifies to 9x = 5. Dividing both sides by 9, we get x = 5/9. Therefore, 0.5 repeating can be expressed as the fraction 5/9.