# How do you convert a non terminating non recurring decimal to a fraction?

## How do you convert a non terminating non recurring decimal to a fraction?

Such numbers have an infinite number of digits after the decimal point. And there is a repetitive pattern in those digits. Generally, decimal numbers can be converted to fractions by dividing the number with a power of 10 which is equal to the number of decimal places. For example, 1.5 = 15/10 = 3/2.

How do I change repeating decimals to fractions?

Convert a Repeating Decimal to a Fraction

1. Create an equation such that x equals the decimal number.
2. Count the number of decimal places, y. Create a second equation multiplying both sides of the first equation by 10y.
3. Subtract the second equation from the first equation.
4. Solve for x.
5. Reduce the fraction.

How will you write 0.444 in a fraction form?

4/9
For example, using this method allows us to find that 0.444… = 4/9, 0.888… = 8/9, and 0.999… = 9/9—which means that it’s equal to 1.

### Can non terminating decimals be written as fractions?

Non-Terminating, Non-Repeating Decimal. A non-terminating, non-repeating decimal is a decimal number that continues endlessly, with no group of digits repeating endlessly. Decimals of this type cannot be represented as fractions, and as a result are irrational numbers.

What is 2.2 Repeating as a fraction?

0.2222… is equal to the fraction with 2 in its numerator (since that’s the single number after the decimal point that’s repeating over and over again) and 9 in its denominator. In other words, 0.2222… = 2/9.

How do you write 0.8 Repeating as a fraction?

Answer and Explanation: As a fraction 0.8 (8 repeating) is 89 .

#### How do you turn 0.33333 into a fraction?

Answer: 0.33333 as a fraction is 1/3.

What is .1666 repeating as a fraction?

1/6
Common Repeating Decimals and Their Equivalent Fractions

Repeating Decimal Equivalent Fraction
0.6666… 2/3
0.1666… 1/6
0.8333… 5/6
0.1111… 1/9

How do you write 0.888888 as a fraction?

When we express 0.888888 as a fraction, it becomes 111,111125,000 111 , 111 125 , 000 .

## What is repeating non terminating decimal?

These decimals are decimal fractions that will never end and, after the decimal point, even predictably repeat one or more numbers. Non-terminating repeating decimals are rational numbers, and we can represent them as p/q, where q will not be equal to 0.

Can a repeating decimal be written as a fraction?

A repeating decimal can always be written as a fraction using algebraic methods that are beyond the scope of this article. However, it is important to recognize that any decimal with one or more digits that repeats forever, for example …