What is 0.252 as a fraction?
0.252 as a fraction is 252/1000 and its simplest form is 63/250.
Learn how to find what is 0.252 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 0.252 in its equivalent fraction form. It is required to recognize the decimal point 0.252 as 252 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.252 as a fraction and how it can be found easily.
Summary: 0.252 in fraction form
0.252 can be recognized as 252 thousandths, which can be represented as 252/1000 in fraction form. The simplest form of 252/1000 is 63/250. Therefore, 0.252 as a fraction is 63/250.
Write 0.252 as a fraction in simplest form.
0.252 = (?)
0.252 = 0.252/1
= (0.252/1) x (1000/1000) //0.252 can be recognized as 252 thousandths.
= 252/1000 //252 thousandths is equal to 252/1000 and it can be simplified further.
= (252/4)/(1000/4) //4 is the GCF of 252 and 1000. Divide both 252 and 1000 by the GCF 4 to simplify the fraction.
= 63/250
0.252 = 63/250
0.252 in its simplest fraction form is 63/250.
So, what is the fraction of 0.252?
It is 252/1000 in fraction. To simplify 252/1000, 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 1000 by 4 gives 250. Thus, 252/1000 simplifies to 63/250
Refer to the step by step work further to learn how to find what is 0.252 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.252
What to be found:
What is 0.252 as a fraction in simplest form?
step 2 Write 0.252 as a simple fraction.
0.252/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.252/1.
Since the decimal 0.252 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.252/1 to make numerator as a whole number.
(0.252 x 1000)/(1 x 1000) = 252/1000
step 4
252 thousandths is the fraction form of 0.252, however, it can be reduced further. To simplify 252/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 252 and 1000 cancel each other.
252/1000 = (4 x 63)/(4 x 250)
= 63/250
252/1000 = 63/250
Hence,
0.252 as a fraction is 63/250.
Converting decimals like 0.252 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.252 to fraction form. In this case, 0.252 can be recognized as 252 thousandths. So, the fraction form of 0.252 is 252/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 252/1000 in its simplest form.