What is 0.254 as a fraction?
0.254 as a fraction is 254/1000 and its simplest form is 127/500.
Learn how to find what is 0.254 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 0.254 in its equivalent fraction form. It is required to recognize the decimal point 0.254 as 254 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.254 as a fraction and how it can be found easily.
Summary: 0.254 in fraction form
0.254 can be recognized as 254 thousandths, which can be represented as 254/1000 in fraction form. The simplest form of 254/1000 is 127/500. Therefore, 0.254 as a fraction is 127/500.
Write 0.254 as a fraction in simplest form.
0.254 = (?)
0.254 = 0.254/1
= (0.254/1) x (1000/1000) //0.254 can be recognized as 254 thousandths.
= 254/1000 //254 thousandths is equal to 254/1000 and it can be simplified further.
= (254/2)/(1000/2) //2 is the GCF of 254 and 1000. Divide both 254 and 1000 by the GCF 2 to simplify the fraction.
= 127/500
0.254 = 127/500
0.254 in its simplest fraction form is 127/500.
So, what is the fraction of 0.254?
It is 254/1000 in fraction. To simplify 254/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 254 by 2 gives 127,
and dividing 1000 by 2 gives 500. Thus, 254/1000 simplifies to 127/500
Refer to the step by step work further to learn how to find what is 0.254 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.254
What to be found:
What is 0.254 as a fraction in simplest form?
step 2 Write 0.254 as a simple fraction.
0.254/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.254/1.
Since the decimal 0.254 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.254/1 to make numerator as a whole number.
(0.254 x 1000)/(1 x 1000) = 254/1000
step 4
254 thousandths is the fraction form of 0.254, however, it can be reduced further. To simplify 254/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 254 and 1000 cancel each other.
254/1000 = (2 x 127)/(2 x 500)
= 127/500
254/1000 = 127/500
Hence,
0.254 as a fraction is 127/500.
Converting decimals like 0.254 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.254 to fraction form. In this case, 0.254 can be recognized as 254 thousandths. So, the fraction form of 0.254 is 254/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 254/1000 in its simplest form.