0.045 as a Fraction

Here you can find 0.045 as a fraction, both as decimal fraction and in simplest form as displayed in our converter right below 🙂

Decimal:

Number

Fraction:

9/200

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How to Convert 0.045 to Decimal?

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0.045 has 3 decimal places, so we put the decimal digits of 0.045, 045, over 1 followed by the number of zeroes equal to the number of decimal places, 3: 045 = 045/1000.

0.045 as decimal fraction = 45/1000

45 is the nominator and 1000 is the denominator.

We now check if our result is already in the lowest terms by finding the greatest common factor of 45 and 1000, know as gcf of 45 and 1000.

The gcf(45,1000) is 5, so we can conclude that 45/1000 is not yet in simplest form.

To obtain 0.045 as a fraction in simplest form we have to divide both, the nominator as well as denominator, by the gcf(45,1000):

45/1000 = = =

We write it as 9/200.

0.045 as a fraction in its lowest terms is 9/200
Read on to learn everything about the topic.

What is 0.045 as a Fraction?

We have already answered the question for the case decimal fraction in simplest form.

Yet, by multiplying the denominator and the nominator of our result in simplest form with all integers distinct from zero and one we can generate an infinite amount of fractions equivalent to 9/200, but not in lowest terms:

9/200 = .

For example, with n = 2 we obtain 18/400 and with n = -3 we get 27/600:
18/400 = 27/600 = 9/200.

We can thus conclude that the question under consideration does not have a single answer, but an indefinite amount of possibilities.

0.045 Repeating as a Fraction

To find out what is 0.045… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 0.045 recurring.

The infinitely-repeated digit sequence of 0.045… can be indicated by three periods.

For example, 0.04555… as a fraction (repeating 5, the last digit) = 41/900.

Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 0.045. In addition, one can sometimes see the period enclosed in parentheses ().

Here, we use the overlined notation to denote 0.045 repeating as a fraction:

0.045 = 41/900
0.045 = 1/22
0.045 = 5/111

These results for 0.045 repeating as a fraction are approximations and limited to three digits fractions.

For different periods, higher precision and more results use the calculator below.

BTW: Our app changes a number such as 0.045 on the fly, just make sure to enter enough decimal digits in case your number contains repeating decimal places.

You certainly know what the decimal 0.045 in numerator / denominator notation is.

This brings us the end of our article.

Summary

We are left with classifying 0.045 as rational number because in can be written as 45/1000; 45 and 1000 are integers.

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– Article written by Mark, last updated on December 25th, 2023