Best Answer

Repeating: Until you become expert at this I suggest you do this in two stages (using c and d separately). Suppose there are c digits after the decimal place where the digits are non-repeating, after which you get a repeating pattern of a string of d digits. Then the numerator is the old original string including one lot of the repeated digits minus the original string with none of the repeating digits. The denominator is 10c*(10d - 1), which is a string of d 9s followed by c 0s.

For example 123.26159159… There are 2 digits, "26", after the decimal point before the repeats kick in so c = 2, and the repeating string "159" is 3 digits long so d = 3. So the numerator is 12326159 – 12326 = 12313833 and the denominator is 99900 Therefore the fraction is 12313833/99900.
Finally, you should check to see if the fraction can be simplified.

User Avatar

Wiki User

6y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you Convert repeating non terminating decimal to a fraction?
Write your answer...
Still have questions?
magnify glass
Related questions

Is the fraction 13 a terminating or repeating decimal?

It is a repeating decimal.

Is 0.875 a terminating or a repeating decimal?

0.875 is a terminating decimal and as a fraction it is 7/8

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.

Does 4 11 convert to a terminating or repeating decimal?

4/11 is a repeating decimal.

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.

How do you cover a negative fraction into a terminating decimal?

A negative fraction need not be a terminating decimal. For example, -2/3 = -0.66... (repeating).

Can every rational fraction be written as a repeating decimal?

Any rational number is either a repeating decimal, or a terminating decimal.

Does the sum of a repeating decimal and a terminating decimal equal a terminating decimal?

No, the sum of a repeating decimal and a terminating decimal is never a terminating decimal.

Is 0.66 a terminating or repeating decimal?

It is terminating - after two decimal digits.

How do you convert 0.2 a repeating decimal into a fraction?

0.2 a repeating decimal into a fraction = 2/9

What is a terminating fraction?

To sum this answer up you half to turn the fraction into a decimal and if it ends that is terminating but if it keeps going it is called a repeating decimal EXAMPLES Terminating- 5/10=.5 Repeating- 1/3=.3333 (bar notation over the 3)

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.