What is 0.426 as a fraction?
0.426 as a fraction is 426/1000 and its simplest form is 213/500.
Learn how to find what is 0.426 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 0.426 in its equivalent fraction form. It is required to recognize the decimal point 0.426 as 426 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.426 as a fraction and how it can be found easily.
Summary: 0.426 in fraction form
0.426 can be recognized as 426 thousandths, which can be represented as 426/1000 in fraction form. The simplest form of 426/1000 is 213/500. Therefore, 0.426 as a fraction is 213/500.
Write 0.426 as a fraction in simplest form.
0.426 = (?)
0.426 = 0.426/1
= (0.426/1) x (1000/1000) //0.426 can be recognized as 426 thousandths.
= 426/1000 //426 thousandths is equal to 426/1000 and it can be simplified further.
= (426/2)/(1000/2) //2 is the GCF of 426 and 1000. Divide both 426 and 1000 by the GCF 2 to simplify the fraction.
= 213/500
0.426 = 213/500
0.426 in its simplest fraction form is 213/500.
So, what is the fraction of 0.426?
It is 426/1000 in fraction. To simplify 426/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 426 by 2 gives 213,
and dividing 1000 by 2 gives 500. Thus, 426/1000 simplifies to 213/500
Refer to the step by step work further to learn how to find what is 0.426 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.426
What to be found:
What is 0.426 as a fraction in simplest form?
step 2 Write 0.426 as a simple fraction.
0.426/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.426/1.
Since the decimal 0.426 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.426/1 to make numerator as a whole number.
(0.426 x 1000)/(1 x 1000) = 426/1000
step 4
426 thousandths is the fraction form of 0.426, however, it can be reduced further. To simplify 426/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 426 and 1000 cancel each other.
426/1000 = (2 x 213)/(2 x 500)
= 213/500
426/1000 = 213/500
Hence,
0.426 as a fraction is 213/500.
Converting decimals like 0.426 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.426 to fraction form. In this case, 0.426 can be recognized as 426 thousandths. So, the fraction form of 0.426 is 426/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 426/1000 in its simplest form.