What is 0.898 as a fraction?
0.898 as a fraction is 898/1000 and its simplest form is 449/500.
Learn how to find what is 0.898 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 0.898 in its equivalent fraction form. It is required to recognize the decimal point 0.898 as 898 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.898 as a fraction and how it can be found easily.
Summary: 0.898 in fraction form
0.898 can be recognized as 898 thousandths, which can be represented as 898/1000 in fraction form. The simplest form of 898/1000 is 449/500. Therefore, 0.898 as a fraction is 449/500.
Write 0.898 as a fraction in simplest form.
0.898 = (?)
0.898 = 0.898/1
= (0.898/1) x (1000/1000) //0.898 can be recognized as 898 thousandths.
= 898/1000 //898 thousandths is equal to 898/1000 and it can be simplified further.
= (898/2)/(1000/2) //2 is the GCF of 898 and 1000. Divide both 898 and 1000 by the GCF 2 to simplify the fraction.
= 449/500
0.898 = 449/500
0.898 in its simplest fraction form is 449/500.
So, what is the fraction of 0.898?
It is 898/1000 in fraction. To simplify 898/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 898 by 2 gives 449,
and dividing 1000 by 2 gives 500. Thus, 898/1000 simplifies to 449/500
Refer to the step by step work further to learn how to find what is 0.898 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.898
What to be found:
What is 0.898 as a fraction in simplest form?
step 2 Write 0.898 as a simple fraction.
0.898/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.898/1.
Since the decimal 0.898 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.898/1 to make numerator as a whole number.
(0.898 x 1000)/(1 x 1000) = 898/1000
step 4
898 thousandths is the fraction form of 0.898, however, it can be reduced further. To simplify 898/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 898 and 1000 cancel each other.
898/1000 = (2 x 449)/(2 x 500)
= 449/500
898/1000 = 449/500
Hence,
0.898 as a fraction is 449/500.
Converting decimals like 0.898 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.898 to fraction form. In this case, 0.898 can be recognized as 898 thousandths. So, the fraction form of 0.898 is 898/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 898/1000 in its simplest form.