What is 0.598 as a fraction?
0.598 as a fraction is 598/1000 and its simplest form is 299/500.
Learn how to find what is 0.598 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 0.598 in its equivalent fraction form. It is required to recognize the decimal point 0.598 as 598 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.598 as a fraction and how it can be found easily.
Summary: 0.598 in fraction form
0.598 can be recognized as 598 thousandths, which can be represented as 598/1000 in fraction form. The simplest form of 598/1000 is 299/500. Therefore, 0.598 as a fraction is 299/500.
Write 0.598 as a fraction in simplest form.
0.598 = (?)
0.598 = 0.598/1
= (0.598/1) x (1000/1000) //0.598 can be recognized as 598 thousandths.
= 598/1000 //598 thousandths is equal to 598/1000 and it can be simplified further.
= (598/2)/(1000/2) //2 is the GCF of 598 and 1000. Divide both 598 and 1000 by the GCF 2 to simplify the fraction.
= 299/500
0.598 = 299/500
0.598 in its simplest fraction form is 299/500.
So, what is the fraction of 0.598?
It is 598/1000 in fraction. To simplify 598/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 598 by 2 gives 299,
and dividing 1000 by 2 gives 500. Thus, 598/1000 simplifies to 299/500
Refer to the step by step work further to learn how to find what is 0.598 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.598
What to be found:
What is 0.598 as a fraction in simplest form?
step 2 Write 0.598 as a simple fraction.
0.598/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.598/1.
Since the decimal 0.598 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.598/1 to make numerator as a whole number.
(0.598 x 1000)/(1 x 1000) = 598/1000
step 4
598 thousandths is the fraction form of 0.598, however, it can be reduced further. To simplify 598/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 598 and 1000 cancel each other.
598/1000 = (2 x 299)/(2 x 500)
= 299/500
598/1000 = 299/500
Hence,
0.598 as a fraction is 299/500.
Converting decimals like 0.598 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.598 to fraction form. In this case, 0.598 can be recognized as 598 thousandths. So, the fraction form of 0.598 is 598/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 598/1000 in its simplest form.