What is 0.122 as a fraction?
0.122 as a fraction is 122/1000 and its simplest form is 61/500.
Learn how to find what is 0.122 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 0.122 in its equivalent fraction form. It is required to recognize the decimal point 0.122 as 122 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.122 as a fraction and how it can be found easily.
Summary: 0.122 in fraction form
0.122 can be recognized as 122 thousandths, which can be represented as 122/1000 in fraction form. The simplest form of 122/1000 is 61/500. Therefore, 0.122 as a fraction is 61/500.
Write 0.122 as a fraction in simplest form.
0.122 = (?)
0.122 = 0.122/1
= (0.122/1) x (1000/1000) //0.122 can be recognized as 122 thousandths.
= 122/1000 //122 thousandths is equal to 122/1000 and it can be simplified further.
= (122/2)/(1000/2) //2 is the GCF of 122 and 1000. Divide both 122 and 1000 by the GCF 2 to simplify the fraction.
= 61/500
0.122 = 61/500
0.122 in its simplest fraction form is 61/500.
So, what is the fraction of 0.122?
It is 122/1000 in fraction. To simplify 122/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 122 by 2 gives 61,
and dividing 1000 by 2 gives 500. Thus, 122/1000 simplifies to 61/500
Refer to the step by step work further to learn how to find what is 0.122 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.122
What to be found:
What is 0.122 as a fraction in simplest form?
step 2 Write 0.122 as a simple fraction.
0.122/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.122/1.
Since the decimal 0.122 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.122/1 to make numerator as a whole number.
(0.122 x 1000)/(1 x 1000) = 122/1000
step 4
122 thousandths is the fraction form of 0.122, however, it can be reduced further. To simplify 122/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 122 and 1000 cancel each other.
122/1000 = (2 x 61)/(2 x 500)
= 61/500
122/1000 = 61/500
Hence,
0.122 as a fraction is 61/500.
Converting decimals like 0.122 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.122 to fraction form. In this case, 0.122 can be recognized as 122 thousandths. So, the fraction form of 0.122 is 122/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 122/1000 in its simplest form.