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# How do you convert a rational number into a decimal?

Updated: 9/24/2023

Wiki User

6y ago

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The line in a fraction can be read as "divided by." 4/5 = 4 divided by 5 = 0.8

Wiki User

6y ago
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Wiki User

8y ago

You divide the numerator of the fraction by its denominator. You may require long division.

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Q: How do you convert a rational number into a decimal?
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### Convert the decimal below into a rational number. 0.1?

0.1 is equivalent to 1/10 which is a rational number

### How do you convert a rational number to a terminating decimal?

In most cases, you cannot.

### How do you convert a decimal into a rational number?

Set the decimal in the form p/q, where p and q are integers.

### What is the procedure of rounding of a rational number?

Rational numbers are not usually rounded - their decimal equivalents are. So convert a rational into its decimal equivalent and then round it to however many places that you want.

### What can I do if I get a repeating decimal?

You can round the decimal fraction to a suitable level of accuracy. Alternatively, you can convert the number to a rational fraction.

### Is decimal a rational number?

It depends. A terminating decimal is a rational number. A decimal which, after a finite number of places, becomes a repeating (or recurrent) decimal is also a rational number. A decimal that is not terminating, nor [eventually] settles into a recurring pattern is not a rational number. Note that the decimal need not become recurring immediately.

### Is 8.2 a rational number?

Yes. Any terminating decimal is a rational number. Any repeating decimal also.

### is 0.313111331 a rational or irrational number?

It is rational. An irrational number is a number that you cannot define by a fraction or a decimal. Since you wrote it as a decimal, it is rational.

### Is 0.454545... an irrational number?

No. It is a rational number. Any repeating decimal or terminating decimal is rational.

### is 27.5 rational or irrational?

It is rational. An irrational number is a number that you cannot define by a fraction or a decimal. Since you wrote it as a decimal, it is rational.

### Is a decimal a considered a real number and a rational number?

Decimals are real. They can be rational or irrational.

### Is 7.11 rational or irrational?

A number with a finite number of decimal digits is always rational. (If the number of decimal digits is infinite, the number is rational only if there is a repeating pattern.)