What is 22.8 as a fraction?
22.8 as a fraction is 228/10 and its simplest form is 114/5.
Learn how to find what is 22.8 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 22.8 in its equivalent fraction form. It is required to recognize the decimal point 22.8 as 228 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 22.8 as a fraction and how it can be found easily.
Summary: 22.8 in fraction form
22.8 can be recognized as 228 tenths, which can be represented as 228/10 in fraction form. The simplest form of 228/10 is 114/5. Therefore, 22.8 as a fraction is 114/5.
Write 22.8 as a fraction in simplest form.
22.8 = (?)
22.8 = 22.8/1
= (22.8/1) x (10/10) //22.8 can be recognized as 228 tenths.
= 228/10 //228 tenths is equal to 228/10 and it can be simplified further.
= (228/2)/(10/2) //2 is the GCF of 228 and 10. Divide both 228 and 10 by the GCF 2 to simplify the fraction.
= 114/5
22.8 = 114/5
22.8 in its simplest fraction form is 114/5.
So, what is the fraction of 22.8?
It is 228/10 in fraction. To simplify 228/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 228 by 2 gives 114,
and dividing 10 by 2 gives 5. Thus, 228/10 simplifies to 114/5
Refer to the step by step work further to learn how to find what is 22.8 as a fraction in simple form.
step 1
Input values:
The decimal number = 22.8
What to be found:
What is 22.8 as a fraction in simplest form?
step 2 Write 22.8 as a simple fraction.
22.8/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 22.8/1.
Since the decimal 22.8 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 22.8/1 to make numerator as a whole number.
(22.8 x 10)/(1 x 10) = 228/10
step 4
228 tenths is the fraction form of 22.8, however, it can be reduced further. To simplify 228/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 228 and 10 cancel each other.
228/10 = (2 x 114)/(2 x 5)
= 114/5
228/10 = 114/5
Hence,
22.8 as a fraction is 114/5.
Converting decimals like 22.8 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 22.8 to fraction form. In this case, 22.8 can be recognized as 228 tenths. So, the fraction form of 22.8 is 228/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 228/10 in its simplest form.