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There are infinitely many fractions which must be represented by non-terminating decimals, not just one.
All rational fractions.
Yes, it can be represented as a terminating decimal.
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.
Fractions are related to repeating decimals in the sense that a fraction can be represented as a repeating decimal if the denominator has prime factors other than 2 or 5. For example, 1/3 can be represented as 0.3333..., with the 3s repeating infinitely. Terminating decimals, on the other hand, are fractions that have denominators which are powers of 10. For example, 1/4 can be represented as 0.25, which terminates after two decimal places.
A fraction will have a terminating decimal if the prime factorisation of the denominator contains only the primes 2 or 5, or both.
There are infinitely many fractions which must be represented by non-terminating decimals, not just one.
All rational fractions.
Yes, it can be represented as a terminating decimal.
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.
Fractions are related to repeating decimals in the sense that a fraction can be represented as a repeating decimal if the denominator has prime factors other than 2 or 5. For example, 1/3 can be represented as 0.3333..., with the 3s repeating infinitely. Terminating decimals, on the other hand, are fractions that have denominators which are powers of 10. For example, 1/4 can be represented as 0.25, which terminates after two decimal places.
0.5 is a terminating decimal and, since it is equal to a half, it is not an integer. A terminating decimal that is not an integer is a rational fraction. However, not all rational fractions are terminating decimals (eg 1/3 = 0.333...).0.1251.2512.5etc.
Yes, as represented in the question, it is.
No, not all fractions can be written as a non-terminating decimal. For instance, 1/3 has infinitely many 3's in the decimal places.
The rational fraction, one third, can be represented as a non terminating decimal, with the digit 3 repeating for ever.
fractions or decimals
No, no repeating decimal is irrational. All repeating decimals can be converted to fractions. They are, however, non-terminating.