What is 0.428 as a fraction?
0.428 as a fraction is 428/1000 and its simplest form is 107/250.
Learn how to find what is 0.428 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 0.428 in its equivalent fraction form. It is required to recognize the decimal point 0.428 as 428 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.428 as a fraction and how it can be found easily.
Summary: 0.428 in fraction form
0.428 can be recognized as 428 thousandths, which can be represented as 428/1000 in fraction form. The simplest form of 428/1000 is 107/250. Therefore, 0.428 as a fraction is 107/250.
Write 0.428 as a fraction in simplest form.
0.428 = (?)
0.428 = 0.428/1
= (0.428/1) x (1000/1000) //0.428 can be recognized as 428 thousandths.
= 428/1000 //428 thousandths is equal to 428/1000 and it can be simplified further.
= (428/4)/(1000/4) //4 is the GCF of 428 and 1000. Divide both 428 and 1000 by the GCF 4 to simplify the fraction.
= 107/250
0.428 = 107/250
0.428 in its simplest fraction form is 107/250.
So, what is the fraction of 0.428?
It is 428/1000 in fraction. To simplify 428/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 428 by 4 gives 107,
and dividing 1000 by 4 gives 250. Thus, 428/1000 simplifies to 107/250
Refer to the step by step work further to learn how to find what is 0.428 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.428
What to be found:
What is 0.428 as a fraction in simplest form?
step 2 Write 0.428 as a simple fraction.
0.428/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.428/1.
Since the decimal 0.428 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.428/1 to make numerator as a whole number.
(0.428 x 1000)/(1 x 1000) = 428/1000
step 4
428 thousandths is the fraction form of 0.428, however, it can be reduced further. To simplify 428/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 428 and 1000 cancel each other.
428/1000 = (4 x 107)/(4 x 250)
= 107/250
428/1000 = 107/250
Hence,
0.428 as a fraction is 107/250.
Converting decimals like 0.428 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.428 to fraction form. In this case, 0.428 can be recognized as 428 thousandths. So, the fraction form of 0.428 is 428/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 428/1000 in its simplest form.