What is 22.2 as a fraction?
22.2 as a fraction is 222/10 and its simplest form is 111/5.
Learn how to find what is 22.2 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 22.2 in its equivalent fraction form. It is required to recognize the decimal point 22.2 as 222 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 22.2 as a fraction and how it can be found easily.
Summary: 22.2 in fraction form
22.2 can be recognized as 222 tenths, which can be represented as 222/10 in fraction form. The simplest form of 222/10 is 111/5. Therefore, 22.2 as a fraction is 111/5.
Write 22.2 as a fraction in simplest form.
22.2 = (?)
22.2 = 22.2/1
= (22.2/1) x (10/10) //22.2 can be recognized as 222 tenths.
= 222/10 //222 tenths is equal to 222/10 and it can be simplified further.
= (222/2)/(10/2) //2 is the GCF of 222 and 10. Divide both 222 and 10 by the GCF 2 to simplify the fraction.
= 111/5
22.2 = 111/5
22.2 in its simplest fraction form is 111/5.
So, what is the fraction of 22.2?
It is 222/10 in fraction. To simplify 222/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 222 by 2 gives 111,
and dividing 10 by 2 gives 5. Thus, 222/10 simplifies to 111/5
Refer to the step by step work further to learn how to find what is 22.2 as a fraction in simple form.
step 1
Input values:
The decimal number = 22.2
What to be found:
What is 22.2 as a fraction in simplest form?
step 2 Write 22.2 as a simple fraction.
22.2/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 22.2/1.
Since the decimal 22.2 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 22.2/1 to make numerator as a whole number.
(22.2 x 10)/(1 x 10) = 222/10
step 4
222 tenths is the fraction form of 22.2, however, it can be reduced further. To simplify 222/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 222 and 10 cancel each other.
222/10 = (2 x 111)/(2 x 5)
= 111/5
222/10 = 111/5
Hence,
22.2 as a fraction is 111/5.
Converting decimals like 22.2 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 22.2 to fraction form. In this case, 22.2 can be recognized as 222 tenths. So, the fraction form of 22.2 is 222/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 222/10 in its simplest form.