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Here are two ways:
1) First reduce the fraction to lowest terms. That is, cancel out all common factors between the numerator and denominator. If the denominator has a prime factor other than 2 or 5, it will not terminate. Otherwise it will terminate. (If the denominator is 1, it will also terminate.)
2) Let's say the denominator is d and assume the numerator and denominator are integers. Start doing the division and carry it out to d places. If it hasn't terminated yet, it never will. For example, if you divide by 30, carry out the division to 30 decimal places. It will terminate by then if it is ever going to. Of course, reducing the fraction will minimize the number of decimal places that you need to calculate.
What else can I help you with?
What fraction turns into a non reapeating non terminating decimal?
An irrational fraction.
Who of the following cannot be written as a fraction an integer a terminating decimal a repeating decimal and a non-terminating non repeating decimal?
The latter which would be an irrational number that cannot be expressed as a fraction.
Is a fraction always a rational number?
No, a fraction such as 22/7 (approximately pi), is a non-terminating, non-repeating fraction, making it irrational.
How do you use non terminating decimal in a sentence?
The rational fraction, one third, can be represented as a non terminating decimal, with the digit 3 repeating for ever.
What is the only fraction that must be represented by a non terminating decimal?
There are infinitely many fractions which must be represented by non-terminating decimals, not just one.
What fraction turns into a non reapeating non terminating decimal?
An irrational fraction.
What is the different of terminating and non terminating decimals?
The former can be expressed as a fraction whereas the latter can't be expressed as a fraction.
How do you determine whether you can write a given decimal as a fraction?
If the decimal is terminating or repeating then it can be written as a fraction. Decimal representations which are non-terminating and non-repeating cannot be expressed as a fraction.
How do you change non-terminating decimal to fraction?
4.371371
Who of the following cannot be written as a fraction an integer a terminating decimal a repeating decimal and a non-terminating non repeating decimal?
The latter which would be an irrational number that cannot be expressed as a fraction.
Is a fraction always a rational number?
No, a fraction such as 22/7 (approximately pi), is a non-terminating, non-repeating fraction, making it irrational.
What are some examples terminating decimals?
Any number that can be expressed as a fraction can also be expressed as a terminating decimal and a non terminating decimal can't be expressed as a fraction and so therefore it is an irrational number.
What are some examples of terminating decimals?
Any number that can be expressed as a fraction can also be expressed as a terminating decimal and a non terminating decimal can't be expressed as a fraction and so therefore it is an irrational number.
How do you use non terminating decimal in a sentence?
The rational fraction, one third, can be represented as a non terminating decimal, with the digit 3 repeating for ever.
What is the only fraction that must be represented by a non terminating decimal?
There are infinitely many fractions which must be represented by non-terminating decimals, not just one.
How do you find whether a decimal is terminating or non terminating without actual division?
To determine if a decimal is terminating or non-terminating without performing actual division, you can analyze the fraction's denominator in its simplest form. A decimal is terminating if the denominator, after simplification, has only the prime factors 2 and/or 5. If the denominator contains any other prime factors, the decimal will be non-terminating.
Can a fraction be written as a non-terminating decimal?
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.
