A fraction where the decimal form doesn't go on for every. Such as 1/2 = 0.5. But numbers like 1/3 = 0/333333333333333... go one for ever, so it is repeating. The only fractions that terminate have their denominator either be even or a multiple of 5. So 1/45 and 1/2343456 are terminating because they're either a multiple of 5 or 2.
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Because a terminating decimal is a rational number that can also be expressed as a fraction
A terminating decimal can be expressed as a fraction as for example 0.75 = 3/4
It is a terminating decimal and so it is a decimal representation of a fraction.
An irrational fraction.
When the fraction is in its simplest or reduced form, if the denominator has any factor other than 1, 2 or 5, it will not be possible to express the fraction as a terminating decimal.