Line them up so that the decimal points are in the same column.
Then check each set of digits from left to right:
If the digits are different, then the number with the smaller digit is smaller.
Otherwise look at the next digit.
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Because decimals are a form you use regularly like with money, but with fractions, its not used all the time such as a decimal is used.
To compare decimals: look at the highest-order digit and compare. If it is the same, look at the next digit, and so forth. Thus, 23.5 is greater than 11.4 (because the tens digit is greater), 123.88 is greater than 25.82 (because the second number has no hundreds digit, so you can take it to be zero), 115.28 is greater than 113.99 (the first two digits are equal, so you compare the third digit). To compare fractions: use a calculator to convert to decimals, then compare. Alternately, you can convert to a common denominator, then compare the numerators.
Whenever the numbers that I need to work with are not integers.
Convert everything to a common denominator (/56), then compare. Alternately, you can use a calculator to divide 3 by 8, and to divide 2 by 7, then you can compare the resulting decimals.
Accountants use decimals by simply dividing the fractions and getting a decimal number. One does not need to be an accountant to use decimals.