0.038 as a Fraction in Simplest Form

Learn how to find what is 0.038 as a fraction in simplest form just in a few minutes. We have covered why the concept of place value and factorization is crucial to express decimal point 0.038 in its equivalent fraction form. It is required to recognize the decimal point 0.038 as 38 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.038 as a fraction and how it can be found easily.

Summary: 0.038 in fraction form
0.038 can be recognized as 38 thousandths, which can be represented as 38/1000 in fraction form. The simplest form of 38/1000 is 19/500. Therefore, 0.038 as a fraction is 19/500.

Write 0.038 as a fraction in simplest form.
0.038 = (?)
0.038 = 0.038/1
= (0.038/1) x (1000/1000)      //0.038 can be recognized as 38 thousandths.
= 38/1000      //38 thousandths is equal to 38/1000 and it can be simplified further.
= (38/2)/(1000/2)       //2 is the GCF of 38 and 1000. Divide both 38 and 1000 by the GCF 2 to simplify the fraction.
= 19/500
0.038 = 19/500
0.038 in its simplest fraction form is 19/500.

So, what is the fraction of 0.038?
It is 38/1000 in fraction. To simplify 38/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 38 by 2 gives 19, and dividing 1000 by 2 gives 500. Thus, 38/1000 simplifies to 19/500

Refer to the step by step work further to learn how to find what is 0.038 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.038

What to be found:
What is 0.038 as a fraction in simplest form?

step 2 Write 0.038 as a simple fraction.
0.038/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.038/1.
Since the decimal 0.038 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.038/1 to make numerator as a whole number.
(0.038 x 1000)/(1 x 1000) = 38/1000

step 4 38 thousandths is the fraction form of 0.038, however, it can be reduced further. To simplify 38/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 38 and 1000 cancel each other.
38/1000 = (2 x 19)/(2 x 500)
= 19/500
38/1000 = 19/500
Hence,
0.038 as a fraction is 19/500.

Converting decimals like 0.038 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.038 to fraction form. In this case, 0.038 can be recognized as 38 thousandths. So, the fraction form of 0.038 is 38/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 38/1000 in its simplest form.