What is 12.2 as a fraction?
12.2 as a fraction is 122/10 and its simplest form is 61/5.
Learn how to find what is 12.2 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 12.2 in its equivalent fraction form. It is required to recognize the decimal point 12.2 as 122 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 12.2 as a fraction and how it can be found easily.
Summary: 12.2 in fraction form
12.2 can be recognized as 122 tenths, which can be represented as 122/10 in fraction form. The simplest form of 122/10 is 61/5. Therefore, 12.2 as a fraction is 61/5.
Write 12.2 as a fraction in simplest form.
12.2 = (?)
12.2 = 12.2/1
= (12.2/1) x (10/10) //12.2 can be recognized as 122 tenths.
= 122/10 //122 tenths is equal to 122/10 and it can be simplified further.
= (122/2)/(10/2) //2 is the GCF of 122 and 10. Divide both 122 and 10 by the GCF 2 to simplify the fraction.
= 61/5
12.2 = 61/5
12.2 in its simplest fraction form is 61/5.
So, what is the fraction of 12.2?
It is 122/10 in fraction. To simplify 122/10, 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 10 by 2 gives 5. Thus, 122/10 simplifies to 61/5
Refer to the step by step work further to learn how to find what is 12.2 as a fraction in simple form.
step 1
Input values:
The decimal number = 12.2
What to be found:
What is 12.2 as a fraction in simplest form?
step 2 Write 12.2 as a simple fraction.
12.2/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 12.2/1.
Since the decimal 12.2 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 12.2/1 to make numerator as a whole number.
(12.2 x 10)/(1 x 10) = 122/10
step 4
122 tenths is the fraction form of 12.2, however, it can be reduced further. To simplify 122/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 122 and 10 cancel each other.
122/10 = (2 x 61)/(2 x 5)
= 61/5
122/10 = 61/5
Hence,
12.2 as a fraction is 61/5.
Converting decimals like 12.2 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 12.2 to fraction form. In this case, 12.2 can be recognized as 122 tenths. So, the fraction form of 12.2 is 122/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 122/10 in its simplest form.