What is 0.635 as a fraction?
0.635 as a fraction is 635/1000 and its simplest form is 127/200.
Learn how to find what is 0.635 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 0.635 in its equivalent fraction form. It is required to recognize the decimal point 0.635 as 635 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.635 as a fraction and how it can be found easily.
Summary: 0.635 in fraction form
0.635 can be recognized as 635 thousandths, which can be represented as 635/1000 in fraction form. The simplest form of 635/1000 is 127/200. Therefore, 0.635 as a fraction is 127/200.
Write 0.635 as a fraction in simplest form.
0.635 = (?)
0.635 = 0.635/1
= (0.635/1) x (1000/1000) //0.635 can be recognized as 635 thousandths.
= 635/1000 //635 thousandths is equal to 635/1000 and it can be simplified further.
= (635/5)/(1000/5) //5 is the GCF of 635 and 1000. Divide both 635 and 1000 by the GCF 5 to simplify the fraction.
= 127/200
0.635 = 127/200
0.635 in its simplest fraction form is 127/200.
So, what is the fraction of 0.635?
It is 635/1000 in fraction. To simplify 635/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 635 by 5 gives 127,
and dividing 1000 by 5 gives 200. Thus, 635/1000 simplifies to 127/200
Refer to the step by step work further to learn how to find what is 0.635 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.635
What to be found:
What is 0.635 as a fraction in simplest form?
step 2 Write 0.635 as a simple fraction.
0.635/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.635/1.
Since the decimal 0.635 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.635/1 to make numerator as a whole number.
(0.635 x 1000)/(1 x 1000) = 635/1000
step 4
635 thousandths is the fraction form of 0.635, however, it can be reduced further. To simplify 635/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 635 and 1000 cancel each other.
635/1000 = (5 x 127)/(5 x 200)
= 127/200
635/1000 = 127/200
Hence,
0.635 as a fraction is 127/200.
Converting decimals like 0.635 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.635 to fraction form. In this case, 0.635 can be recognized as 635 thousandths. So, the fraction form of 0.635 is 635/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 635/1000 in its simplest form.