To convert a non-repeating or terminating decimal to fractional form, express the decimal number as a common fraction with a power of ten as the denominator. The fraction is then reduced to lowest terms.
Since we need to put our number over a power of ten, we need to know what the various places after the decimal point mean.
Express 0.425 as a fraction in lowest terms.
Since there are 3 digits in 425, the very last digit is the 1000th place.
So, 0.425 is read 425 thousandths.
It is written . It is now in fraction form but not reduced to lowest terms.
425 and 1000 have a common factor of 25, so we have to divide both the numerator and the denominator by 25 to reduce the fraction.
. Now our fraction is in lowest terms.