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if the denominators only prime factor is a 2 and 5 (if it has any) the decimal will terminate otherwise it wont.

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Q: How can you predict whether a fraction will terminate?
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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.


Is the fraction 1-3 equivalent to a terminating decimal or a decimal that doesn't terminate?

The fraction 1/3 does not terminate.


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Is the fraction 13 equivalent to a terminating decimal or a decimal that does not terminate?

1/3 does not terminate.


How can you predict whether a fraction will give a recurring or terminating decimal?

Reduce the fraction to its simplest form - that is, remove any common factors between the numerator and denominator. If the denominator now is a factor of some power of 10, that is, if the denominator is of the form 2a*5b then the fraction will me a terminating decimal. If not, it will not.


What is a fraction that terminates 43 14 72 or 1311?

1/4 and 7/2 terminate.


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It predicts whether or not a reaction will be spontaneous.


How can you tell if a decimal will be repeating or terminating by looking at a fraction?

In general, you cannot.If the fraction is in its simplest form and the denominator has any prime factor other than 2 or 5 then it is a repeating decimal; otherwise it will terminate. However, most people will not know simply by looking whether 21474836480 has any factors other than 2 and 5.


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Must any rational number terminate?

Not always because any number that can be expressed as a fraction is a rational number as for example 0.666...recurring can be expressed as 2/3 as a fraction


Is there a way to tell if a decimal is terminating or repeating?

Think of the division problem as a fraction. Simplify the fraction to its simplest form. For example, simplify 7/14 to 1/2. If the only factors of the denominator are 1, 2, and 5, then it will terminate. If the denominator has any other factors, it will repeat. For example, n/16 will always terminate for any integer n. But n/15 will never terminate for any non-zero integer n if the fraction is in its simplest form. Another method is to do the division. If you are dividing a/b (where a and b are both integers), then if it is going to terminate, it will terminate within b-1 decimal places. In other words, the repeating portion will never be longer than b-1 digits.