How? Well, since you can always attach an infinite number of zeros to the very end of a number without changing its value, you can put an infinitely long string of zeros on the end of an otherwise terminating decimal…and you’ll have turned it into a repeating decimal!įor example, you can think of the terminating decimal 0.25 as 0.25000… instead. If you think about it though, you’ll see that any terminating decimal number can actually be written as a repeating decimal too. (Remember, a decimal that just goes on and on with no repeating pattern is irrational.) Can a Terminating Decimal Be Written as a Repeating Decimal?
So a repeating decimal is a rational number whose decimal representation has some repeating pattern, and a terminating decimal is a rational number whose decimal representation eventually stops.
#DECIMAL TO FRACTION CONVERTER REDUCED FRACTION HOW TO#
What are Terminating and Repeating Decimals?īefore we get into the details of how to actually convert terminating and repeating decimals into fractions, we’d better make sure we understand what it means for a rational number to be a “terminating” or “repeating” decimal in the first place.
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