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There is no such example. If you cannot use an exact fraction then there will not be an exact decimal that you can use instead. And, if you are using an approximate decimal, you could use an approximate fraction instead.
A trick for changing a decimal to a fraction is to say it aloud and write it out as how it says like for example .4 = 4/10 and you can simplify it. That would be a way you can change a decimal to a fraction.
A terminating decimal can be expressed as a fraction as for example 0.75 = 3/4
The value is the same, the whole number ( to the left of the decimal point ) is the same, but the fraction of 1 ( to the right of the decimal point) can be expressed as either a fraction or a decimal depending on its use, so for example: 1.375 is the same as 1 3/8
Just divide 13 by 16 - for example, on a calculator. This will give you the equivalent decimal.