How do you get 0.278 into a fraction show work?

0.278 as a fraction is 278/1000. There is no work to show because this can be done in your head. We know that the 8 in the decimal is in thousandths place, so 278 will be the numerator and 1000 will be the denominator. To simplify the fraction, divide both numbers by 2:

278 divided by 2 is 139. 1000 divided by 4 is 500. Simplified, 278/1000 is 139/500.