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Any number that can be written as a fraction (with a non-zero denominator) is a rational number; in decimal format it will either terminate (possibly with no digits after the decimal point, ie an integer) or end in a repeating sequence of digits.

Any number which cannot be written as a fraction (one integer over another) is an irrational number.

If I understand your question correctly:

A number written as a fraction with a denominator which does not equal zero can be any of a terminating decimal, a recurring decimal or an integer - they are all possible.

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Q: What is a real number that can be written as a fraction denominator does not equal 0 a repeating or terminating decimal or an integer?
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How are terminating decimals and repeating decimal reflected in fractions?

If a fraction, in its simplest form has a denominator whose only prime factors are 2 or 5, then the fraction is terminating. If the denominator has any other prime factor then the decimal is repeating.


What causes the difference in terminating decimals and repeating decimals?

If a fraction is a rational number then if the denominator goes into the numerator or into the numerator multiplied by a power of 10, then you will have a terminating decimal. Otherwise it will be a repeating decimal.


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What can you predict whether a quotient will be a terminating decimal or repeating decimal?

If the denominator of the fraction, when written in its simplest form, has any prime factor other than 2 or 5 then it will be a repeating decimal fraction otherwise it will terminate.


How can you predict whether a quotient will be terminating decimal or a repeating decimal?

If the denominator of the fraction, when written in its simplest form, has any prime factor other than 2 or 5 then it will be a repeating decimal fraction otherwise it will terminate.


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If the denominator of the fraction has any prime factor other than 2 or 5, then it has a decimal representation with a repeating sequence of digits. If the denominator is a product of any number of 2s or 5s then it can be represented as a terminating decimal.


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