What is 0.644 as a fraction?
0.644 as a fraction is 644/1000 and its simplest form is 161/250.
Learn how to find what is 0.644 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 0.644 in its equivalent fraction form. It is required to recognize the decimal point 0.644 as 644 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.644 as a fraction and how it can be found easily.
Summary: 0.644 in fraction form
0.644 can be recognized as 644 thousandths, which can be represented as 644/1000 in fraction form. The simplest form of 644/1000 is 161/250. Therefore, 0.644 as a fraction is 161/250.
Write 0.644 as a fraction in simplest form.
0.644 = (?)
0.644 = 0.644/1
= (0.644/1) x (1000/1000) //0.644 can be recognized as 644 thousandths.
= 644/1000 //644 thousandths is equal to 644/1000 and it can be simplified further.
= (644/4)/(1000/4) //4 is the GCF of 644 and 1000. Divide both 644 and 1000 by the GCF 4 to simplify the fraction.
= 161/250
0.644 = 161/250
0.644 in its simplest fraction form is 161/250.
So, what is the fraction of 0.644?
It is 644/1000 in fraction. To simplify 644/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 644 by 4 gives 161,
and dividing 1000 by 4 gives 250. Thus, 644/1000 simplifies to 161/250
Refer to the step by step work further to learn how to find what is 0.644 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.644
What to be found:
What is 0.644 as a fraction in simplest form?
step 2 Write 0.644 as a simple fraction.
0.644/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.644/1.
Since the decimal 0.644 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.644/1 to make numerator as a whole number.
(0.644 x 1000)/(1 x 1000) = 644/1000
step 4
644 thousandths is the fraction form of 0.644, however, it can be reduced further. To simplify 644/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 644 and 1000 cancel each other.
644/1000 = (4 x 161)/(4 x 250)
= 161/250
644/1000 = 161/250
Hence,
0.644 as a fraction is 161/250.
Converting decimals like 0.644 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.644 to fraction form. In this case, 0.644 can be recognized as 644 thousandths. So, the fraction form of 0.644 is 644/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 644/1000 in its simplest form.