What is 0.798 as a fraction?
0.798 as a fraction is 798/1000 and its simplest form is 399/500.
Learn how to find what is 0.798 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 0.798 in its equivalent fraction form. It is required to recognize the decimal point 0.798 as 798 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.798 as a fraction and how it can be found easily.
Summary: 0.798 in fraction form
0.798 can be recognized as 798 thousandths, which can be represented as 798/1000 in fraction form. The simplest form of 798/1000 is 399/500. Therefore, 0.798 as a fraction is 399/500.
Write 0.798 as a fraction in simplest form.
0.798 = (?)
0.798 = 0.798/1
= (0.798/1) x (1000/1000) //0.798 can be recognized as 798 thousandths.
= 798/1000 //798 thousandths is equal to 798/1000 and it can be simplified further.
= (798/2)/(1000/2) //2 is the GCF of 798 and 1000. Divide both 798 and 1000 by the GCF 2 to simplify the fraction.
= 399/500
0.798 = 399/500
0.798 in its simplest fraction form is 399/500.
So, what is the fraction of 0.798?
It is 798/1000 in fraction. To simplify 798/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 798 by 2 gives 399,
and dividing 1000 by 2 gives 500. Thus, 798/1000 simplifies to 399/500
Refer to the step by step work further to learn how to find what is 0.798 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.798
What to be found:
What is 0.798 as a fraction in simplest form?
step 2 Write 0.798 as a simple fraction.
0.798/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.798/1.
Since the decimal 0.798 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.798/1 to make numerator as a whole number.
(0.798 x 1000)/(1 x 1000) = 798/1000
step 4
798 thousandths is the fraction form of 0.798, however, it can be reduced further. To simplify 798/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 798 and 1000 cancel each other.
798/1000 = (2 x 399)/(2 x 500)
= 399/500
798/1000 = 399/500
Hence,
0.798 as a fraction is 399/500.
Converting decimals like 0.798 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.798 to fraction form. In this case, 0.798 can be recognized as 798 thousandths. So, the fraction form of 0.798 is 798/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 798/1000 in its simplest form.