What is 0.645 as a fraction?
0.645 as a fraction is 645/1000 and its simplest form is 129/200.
Learn how to find what is 0.645 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 0.645 in its equivalent fraction form. It is required to recognize the decimal point 0.645 as 645 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.645 as a fraction and how it can be found easily.
Summary: 0.645 in fraction form
0.645 can be recognized as 645 thousandths, which can be represented as 645/1000 in fraction form. The simplest form of 645/1000 is 129/200. Therefore, 0.645 as a fraction is 129/200.
Write 0.645 as a fraction in simplest form.
0.645 = (?)
0.645 = 0.645/1
= (0.645/1) x (1000/1000) //0.645 can be recognized as 645 thousandths.
= 645/1000 //645 thousandths is equal to 645/1000 and it can be simplified further.
= (645/5)/(1000/5) //5 is the GCF of 645 and 1000. Divide both 645 and 1000 by the GCF 5 to simplify the fraction.
= 129/200
0.645 = 129/200
0.645 in its simplest fraction form is 129/200.
So, what is the fraction of 0.645?
It is 645/1000 in fraction. To simplify 645/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 645 by 5 gives 129,
and dividing 1000 by 5 gives 200. Thus, 645/1000 simplifies to 129/200
Refer to the step by step work further to learn how to find what is 0.645 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.645
What to be found:
What is 0.645 as a fraction in simplest form?
step 2 Write 0.645 as a simple fraction.
0.645/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.645/1.
Since the decimal 0.645 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.645/1 to make numerator as a whole number.
(0.645 x 1000)/(1 x 1000) = 645/1000
step 4
645 thousandths is the fraction form of 0.645, however, it can be reduced further. To simplify 645/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 645 and 1000 cancel each other.
645/1000 = (5 x 129)/(5 x 200)
= 129/200
645/1000 = 129/200
Hence,
0.645 as a fraction is 129/200.
Converting decimals like 0.645 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.645 to fraction form. In this case, 0.645 can be recognized as 645 thousandths. So, the fraction form of 0.645 is 645/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 645/1000 in its simplest form.