This video will show you how to change a recurring a decimal into a fraction. So in example 1 you need to convert 0.5 recurring into a fraction. Do this by letting x = 0.555... Now multiply both side of the equation by 10 to give 10x = 5.555... You can then subtract these equations to give 9x = 5. Now solve this equation to give a final answer of 5/9. So 0.5 recurring as a fraction is 5/9.