What is 0.626 as a fraction?
0.626 as a fraction is 626/1000 and its simplest form is 313/500.
Learn how to find what is 0.626 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 0.626 in its equivalent fraction form. It is required to recognize the decimal point 0.626 as 626 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.626 as a fraction and how it can be found easily.
Summary: 0.626 in fraction form
0.626 can be recognized as 626 thousandths, which can be represented as 626/1000 in fraction form. The simplest form of 626/1000 is 313/500. Therefore, 0.626 as a fraction is 313/500.
Write 0.626 as a fraction in simplest form.
0.626 = (?)
0.626 = 0.626/1
= (0.626/1) x (1000/1000) //0.626 can be recognized as 626 thousandths.
= 626/1000 //626 thousandths is equal to 626/1000 and it can be simplified further.
= (626/2)/(1000/2) //2 is the GCF of 626 and 1000. Divide both 626 and 1000 by the GCF 2 to simplify the fraction.
= 313/500
0.626 = 313/500
0.626 in its simplest fraction form is 313/500.
So, what is the fraction of 0.626?
It is 626/1000 in fraction. To simplify 626/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 626 by 2 gives 313,
and dividing 1000 by 2 gives 500. Thus, 626/1000 simplifies to 313/500
Refer to the step by step work further to learn how to find what is 0.626 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.626
What to be found:
What is 0.626 as a fraction in simplest form?
step 2 Write 0.626 as a simple fraction.
0.626/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.626/1.
Since the decimal 0.626 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.626/1 to make numerator as a whole number.
(0.626 x 1000)/(1 x 1000) = 626/1000
step 4
626 thousandths is the fraction form of 0.626, however, it can be reduced further. To simplify 626/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 626 and 1000 cancel each other.
626/1000 = (2 x 313)/(2 x 500)
= 313/500
626/1000 = 313/500
Hence,
0.626 as a fraction is 313/500.
Converting decimals like 0.626 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.626 to fraction form. In this case, 0.626 can be recognized as 626 thousandths. So, the fraction form of 0.626 is 626/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 626/1000 in its simplest form.