0.0252 as a Fraction in Simplest Form

Learn how to find what is 0.0252 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 0.0252 in its equivalent fraction form. It is required to recognize the decimal point 0.0252 as 252 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0252 as a fraction and how it can be found easily.

Summary: 0.0252 in fraction form
0.0252 can be recognized as 252 ten-thousandths, which can be represented as 252/10000 in fraction form. The simplest form of 252/10000 is 63/2500. Therefore, 0.0252 as a fraction is 63/2500.

Write 0.0252 as a fraction in simplest form.
0.0252 = (?)
0.0252 = 0.0252/1
= (0.0252/1) x (10000/10000)      //0.0252 can be recognized as 252 ten-thousandths.
= 252/10000      //252 ten-thousandths is equal to 252/10000 and it can be simplified further.
= (252/4)/(10000/4)       //4 is the GCF of 252 and 10000. Divide both 252 and 10000 by the GCF 4 to simplify the fraction.
= 63/2500
0.0252 = 63/2500
0.0252 in its simplest fraction form is 63/2500.

So, what is the fraction of 0.0252?
It is 252/10000 in fraction. To simplify 252/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 252 by 4 gives 63, and dividing 10000 by 4 gives 2500. Thus, 252/10000 simplifies to 63/2500

Refer to the step by step work further to learn how to find what is 0.0252 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.0252

What to be found:
What is 0.0252 as a fraction in simplest form?

step 2 Write 0.0252 as a simple fraction.
0.0252/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0252/1.
Since the decimal 0.0252 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0252/1 to make numerator as a whole number.
(0.0252 x 10000)/(1 x 10000) = 252/10000

step 4 252 ten-thousandths is the fraction form of 0.0252, however, it can be reduced further. To simplify 252/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 252 and 10000 cancel each other.
252/10000 = (4 x 63)/(4 x 2500)
= 63/2500
252/10000 = 63/2500
Hence,
0.0252 as a fraction is 63/2500.

Converting decimals like 0.0252 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0252 to fraction form. In this case, 0.0252 can be recognized as 252 ten-thousandths. So, the fraction form of 0.0252 is 252/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 252/10000 in its simplest form.