What is 0.255 as a fraction?
0.255 as a fraction is 255/1000 and its simplest form is 51/200.
Learn how to find what is 0.255 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 0.255 in its equivalent fraction form. It is required to recognize the decimal point 0.255 as 255 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.255 as a fraction and how it can be found easily.
Summary: 0.255 in fraction form
0.255 can be recognized as 255 thousandths, which can be represented as 255/1000 in fraction form. The simplest form of 255/1000 is 51/200. Therefore, 0.255 as a fraction is 51/200.
Write 0.255 as a fraction in simplest form.
0.255 = (?)
0.255 = 0.255/1
= (0.255/1) x (1000/1000) //0.255 can be recognized as 255 thousandths.
= 255/1000 //255 thousandths is equal to 255/1000 and it can be simplified further.
= (255/5)/(1000/5) //5 is the GCF of 255 and 1000. Divide both 255 and 1000 by the GCF 5 to simplify the fraction.
= 51/200
0.255 = 51/200
0.255 in its simplest fraction form is 51/200.
So, what is the fraction of 0.255?
It is 255/1000 in fraction. To simplify 255/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 255 by 5 gives 51,
and dividing 1000 by 5 gives 200. Thus, 255/1000 simplifies to 51/200
Refer to the step by step work further to learn how to find what is 0.255 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.255
What to be found:
What is 0.255 as a fraction in simplest form?
step 2 Write 0.255 as a simple fraction.
0.255/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.255/1.
Since the decimal 0.255 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.255/1 to make numerator as a whole number.
(0.255 x 1000)/(1 x 1000) = 255/1000
step 4
255 thousandths is the fraction form of 0.255, however, it can be reduced further. To simplify 255/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 255 and 1000 cancel each other.
255/1000 = (5 x 51)/(5 x 200)
= 51/200
255/1000 = 51/200
Hence,
0.255 as a fraction is 51/200.
Converting decimals like 0.255 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.255 to fraction form. In this case, 0.255 can be recognized as 255 thousandths. So, the fraction form of 0.255 is 255/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 255/1000 in its simplest form.