What is 0.208 as a fraction?
0.208 as a fraction is 208/1000 and its simplest form is 26/125.
Learn how to find what is 0.208 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 0.208 in its equivalent fraction form. It is required to recognize the decimal point 0.208 as 208 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.208 as a fraction and how it can be found easily.
Summary: 0.208 in fraction form
0.208 can be recognized as 208 thousandths, which can be represented as 208/1000 in fraction form. The simplest form of 208/1000 is 26/125. Therefore, 0.208 as a fraction is 26/125.
Write 0.208 as a fraction in simplest form.
0.208 = (?)
0.208 = 0.208/1
= (0.208/1) x (1000/1000) //0.208 can be recognized as 208 thousandths.
= 208/1000 //208 thousandths is equal to 208/1000 and it can be simplified further.
= (208/8)/(1000/8) //8 is the GCF of 208 and 1000. Divide both 208 and 1000 by the GCF 8 to simplify the fraction.
= 26/125
0.208 = 26/125
0.208 in its simplest fraction form is 26/125.
So, what is the fraction of 0.208?
It is 208/1000 in fraction. To simplify 208/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 208 by 8 gives 26,
and dividing 1000 by 8 gives 125. Thus, 208/1000 simplifies to 26/125
Refer to the step by step work further to learn how to find what is 0.208 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.208
What to be found:
What is 0.208 as a fraction in simplest form?
step 2 Write 0.208 as a simple fraction.
0.208/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.208/1.
Since the decimal 0.208 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.208/1 to make numerator as a whole number.
(0.208 x 1000)/(1 x 1000) = 208/1000
step 4
208 thousandths is the fraction form of 0.208, however, it can be reduced further. To simplify 208/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 208 and 1000 cancel each other.
208/1000 = (8 x 26)/(8 x 125)
= 26/125
208/1000 = 26/125
Hence,
0.208 as a fraction is 26/125.
Converting decimals like 0.208 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.208 to fraction form. In this case, 0.208 can be recognized as 208 thousandths. So, the fraction form of 0.208 is 208/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 208/1000 in its simplest form.