What is 0.298 as a fraction?
0.298 as a fraction is 298/1000 and its simplest form is 149/500.
Learn how to find what is 0.298 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 0.298 in its equivalent fraction form. It is required to recognize the decimal point 0.298 as 298 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.298 as a fraction and how it can be found easily.
Summary: 0.298 in fraction form
0.298 can be recognized as 298 thousandths, which can be represented as 298/1000 in fraction form. The simplest form of 298/1000 is 149/500. Therefore, 0.298 as a fraction is 149/500.
Write 0.298 as a fraction in simplest form.
0.298 = (?)
0.298 = 0.298/1
= (0.298/1) x (1000/1000) //0.298 can be recognized as 298 thousandths.
= 298/1000 //298 thousandths is equal to 298/1000 and it can be simplified further.
= (298/2)/(1000/2) //2 is the GCF of 298 and 1000. Divide both 298 and 1000 by the GCF 2 to simplify the fraction.
= 149/500
0.298 = 149/500
0.298 in its simplest fraction form is 149/500.
So, what is the fraction of 0.298?
It is 298/1000 in fraction. To simplify 298/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 298 by 2 gives 149,
and dividing 1000 by 2 gives 500. Thus, 298/1000 simplifies to 149/500
Refer to the step by step work further to learn how to find what is 0.298 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.298
What to be found:
What is 0.298 as a fraction in simplest form?
step 2 Write 0.298 as a simple fraction.
0.298/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.298/1.
Since the decimal 0.298 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.298/1 to make numerator as a whole number.
(0.298 x 1000)/(1 x 1000) = 298/1000
step 4
298 thousandths is the fraction form of 0.298, however, it can be reduced further. To simplify 298/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 298 and 1000 cancel each other.
298/1000 = (2 x 149)/(2 x 500)
= 149/500
298/1000 = 149/500
Hence,
0.298 as a fraction is 149/500.
Converting decimals like 0.298 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.298 to fraction form. In this case, 0.298 can be recognized as 298 thousandths. So, the fraction form of 0.298 is 298/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 298/1000 in its simplest form.