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# What is the Decimal Representation of a Rational Number?

## What is a Rational Number?

A rational number is a number that can be expressed as the ratio between two integers. It can be written in the form of a fraction, for instance, 3/4, or with a decimal number, like 0.75. Every rational number has a decimal representation.

## What is the Decimal Representation of a Rational Number?

The decimal representation of a rational number is the fractional form of the number written as a decimal. For example, the rational number 3/4 can be written as 0.75 in decimal form. The decimal representation of a rational number is the same as the fractional form, but written with a decimal point instead of a fraction bar.

## How to Find the Decimal Representation of a Rational Number

To find the decimal representation of a rational number, divide the numerator by the denominator and remove the fraction bar. For example, the rational number 5/6 can be written as 0.8333 in decimal form. The decimal representation of the number is the result of the division.

## Examples of Decimal Representation of Rational Numbers

Here are some examples of how to write rational numbers as decimals:

- 3/4 = 0.75
- 5/6 = 0.8333
- 7/8 = 0.875
- 9/10 = 0.9

### Conclusion

The decimal representation of a rational number is the same as the fractional form, but written with a decimal point instead of a fraction bar. To find the decimal representation of a rational number, divide the numerator by the denominator and remove the fraction bar. Examples of decimal representation of rational numbers include 3/4 = 0.75, 5/6 = 0.8333, 7/8 = 0.875, and 9/10 = 0.9.