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Earn +20 ptsQ: How can you predict whether a fraction will 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 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.
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
3.25 repeating as a fraction?
The answer will depend on whether the fraction is 3.2525... or 3.2555...
Do all fractions with an even denominator terminate?
No. For example, the fraction 1/14 goes on forever when written as a decimal. (.0714285714285714285714285714285...)
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