What is 0.642 as a fraction?
0.642 as a fraction is 642/1000 and its simplest form is 321/500.
Learn how to find what is 0.642 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 0.642 in its equivalent fraction form. It is required to recognize the decimal point 0.642 as 642 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.642 as a fraction and how it can be found easily.
Summary: 0.642 in fraction form
0.642 can be recognized as 642 thousandths, which can be represented as 642/1000 in fraction form. The simplest form of 642/1000 is 321/500. Therefore, 0.642 as a fraction is 321/500.
Write 0.642 as a fraction in simplest form.
0.642 = (?)
0.642 = 0.642/1
= (0.642/1) x (1000/1000) //0.642 can be recognized as 642 thousandths.
= 642/1000 //642 thousandths is equal to 642/1000 and it can be simplified further.
= (642/2)/(1000/2) //2 is the GCF of 642 and 1000. Divide both 642 and 1000 by the GCF 2 to simplify the fraction.
= 321/500
0.642 = 321/500
0.642 in its simplest fraction form is 321/500.
So, what is the fraction of 0.642?
It is 642/1000 in fraction. To simplify 642/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 642 by 2 gives 321,
and dividing 1000 by 2 gives 500. Thus, 642/1000 simplifies to 321/500
Refer to the step by step work further to learn how to find what is 0.642 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.642
What to be found:
What is 0.642 as a fraction in simplest form?
step 2 Write 0.642 as a simple fraction.
0.642/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.642/1.
Since the decimal 0.642 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.642/1 to make numerator as a whole number.
(0.642 x 1000)/(1 x 1000) = 642/1000
step 4
642 thousandths is the fraction form of 0.642, however, it can be reduced further. To simplify 642/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 642 and 1000 cancel each other.
642/1000 = (2 x 321)/(2 x 500)
= 321/500
642/1000 = 321/500
Hence,
0.642 as a fraction is 321/500.
Converting decimals like 0.642 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.642 to fraction form. In this case, 0.642 can be recognized as 642 thousandths. So, the fraction form of 0.642 is 642/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 642/1000 in its simplest form.