When absolute values are smaller than one!
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when you are trying to find a price
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The fraction 1/3=0.3333333... In this case it is better to use fractions just like in all cases. There will be no case when decimals will work better than fractions however, if a test says to use decimals; USE THEM!
When you'll want to approximate quickly and easily. For example; 34783/89342 = 0.38932417004320474 It is a lot easier to approximate that to 0.39 if you have the decimal form than to round from 34783/89342 to 39/100.
In math class, or work like engineers Accountants and other such task es.