What is 0.098 as a fraction?
0.098 as a fraction is 98/1000 and its simplest form is 49/500.
Learn how to find what is 0.098 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 0.098 in its equivalent fraction form. It is required to recognize the decimal point 0.098 as 98 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.098 as a fraction and how it can be found easily.
Summary: 0.098 in fraction form
0.098 can be recognized as 98 thousandths, which can be represented as 98/1000 in fraction form. The simplest form of 98/1000 is 49/500. Therefore, 0.098 as a fraction is 49/500.
Write 0.098 as a fraction in simplest form.
0.098 = (?)
0.098 = 0.098/1
= (0.098/1) x (1000/1000) //0.098 can be recognized as 98 thousandths.
= 98/1000 //98 thousandths is equal to 98/1000 and it can be simplified further.
= (98/2)/(1000/2) //2 is the GCF of 98 and 1000. Divide both 98 and 1000 by the GCF 2 to simplify the fraction.
= 49/500
0.098 = 49/500
0.098 in its simplest fraction form is 49/500.
So, what is the fraction of 0.098?
It is 98/1000 in fraction. To simplify 98/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 98 by 2 gives 49,
and dividing 1000 by 2 gives 500. Thus, 98/1000 simplifies to 49/500
Refer to the step by step work further to learn how to find what is 0.098 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.098
What to be found:
What is 0.098 as a fraction in simplest form?
step 2 Write 0.098 as a simple fraction.
0.098/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.098/1.
Since the decimal 0.098 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.098/1 to make numerator as a whole number.
(0.098 x 1000)/(1 x 1000) = 98/1000
step 4
98 thousandths is the fraction form of 0.098, however, it can be reduced further. To simplify 98/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 98 and 1000 cancel each other.
98/1000 = (2 x 49)/(2 x 500)
= 49/500
98/1000 = 49/500
Hence,
0.098 as a fraction is 49/500.
Converting decimals like 0.098 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.098 to fraction form. In this case, 0.098 can be recognized as 98 thousandths. So, the fraction form of 0.098 is 98/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 98/1000 in its simplest form.