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# 0.042 as a Fraction

Here you can find 0.042 as a fraction, both as decimal fraction and in simplest form as displayed in our converter right below:

Decimal:
Fraction:
21/500

We show you how to convert 0.042 to a fraction using the step by step instructions which can be found on our home page. There, you can also learn all about the others terms used in this article. If you have been looking for 0.042 in fraction form or 0.042 repeating as a fraction, then you are right here, too.

0.042 has 3 decimal places, so we put the decimal digits of 0.042, 042, over 1 followed by the number of zeroes equal to the number of decimal places, 3: 042 = 042/1000.

0.042 as decimal fraction = 42/1000

42 is the nominator and 1000 is the denominator. We now check if the decimal fraction is already in the lowest terms by finding the greatest common factor of 42 and 1000, know as gcf of 42 and 1000.

The gcf(42,1000) is 2, so we can conclude that 42/1000 is not 0.042 as a fraction in simplest form. To obtain 0.042 as a fraction in simplest form we have to divide both, the nominator as well as denominator, by the gcf(42,1000):

42/1000 = = =

We write 0.042 as a fraction in simplest form as 21/500.

0.042 as a fraction in its lowest terms is 21/500

## What is 0.042 as a Fraction

We have already answered what is 0.042 as a fraction above for the cases 0.042 as decimal fraction and 0.042 as a fraction in simplest form.

Yet, by multiplying the denominator and the nominator of 0.042 as a fraction in simplest form with all integers distinct from zero and one we can generate an infinite amount of fractions equivalent to 21/500, but not in lowest terms:

21/500 = .

For example, with n = 2 we obtain 42/1000 and with n = -3 we get 63/1500:
42/1000 = 63/1500 = 21/500.

We can thus conclude that the question What is 0.042 as a fraction? does not have a single answer, but an indefinite amount of possibilities.

## 0.042 Repeating as a Fraction

To find out what is 0.042… as a fraction, identify the repeating sequence or pattern, known as reptend or repetend of 0.042 recurring.

The infinitely-repeated digit sequence of 0.042… can be indicated by three periods. For example, 0.04222… as a fraction (repeating 2, the last digit) = 19/450.

Alternatively, a vinculum, that is a horizontal line, can be drawn above the repetend of the fraction of 0.042. In addition, one can sometimes see the period enclosed in parentheses ().

Here, we use the overlined notation to denote 0.042 repeating as a fraction:

0.042 = 19/450
0.042 = 7/165
0.042 = 14/333

These results for 0.042 repeating as a fraction are approximations and limited to three digits fractions. For different periods, higher precision and more results use the calculator below.

Our calculator changes a number such as 0.042 on the fly, just make sure to enter enough decimal digits in case your number contains repeating decimal places.

You know what the decimal 0.042 in numerator / denominator notation is.

This brings us the end of our article. We are left with classifying 0.042 as rational number because in can be written as 42/1000; 42 and 1000 are integers.

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