What is 22.4 as a fraction?
22.4 as a fraction is 224/10 and its simplest form is 112/5.
Learn how to find what is 22.4 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 22.4 in its equivalent fraction form. It is required to recognize the decimal point 22.4 as 224 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 22.4 as a fraction and how it can be found easily.
Summary: 22.4 in fraction form
22.4 can be recognized as 224 tenths, which can be represented as 224/10 in fraction form. The simplest form of 224/10 is 112/5. Therefore, 22.4 as a fraction is 112/5.
Write 22.4 as a fraction in simplest form.
22.4 = (?)
22.4 = 22.4/1
= (22.4/1) x (10/10) //22.4 can be recognized as 224 tenths.
= 224/10 //224 tenths is equal to 224/10 and it can be simplified further.
= (224/2)/(10/2) //2 is the GCF of 224 and 10. Divide both 224 and 10 by the GCF 2 to simplify the fraction.
= 112/5
22.4 = 112/5
22.4 in its simplest fraction form is 112/5.
So, what is the fraction of 22.4?
It is 224/10 in fraction. To simplify 224/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 224 by 2 gives 112,
and dividing 10 by 2 gives 5. Thus, 224/10 simplifies to 112/5
Refer to the step by step work further to learn how to find what is 22.4 as a fraction in simple form.
step 1
Input values:
The decimal number = 22.4
What to be found:
What is 22.4 as a fraction in simplest form?
step 2 Write 22.4 as a simple fraction.
22.4/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 22.4/1.
Since the decimal 22.4 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 22.4/1 to make numerator as a whole number.
(22.4 x 10)/(1 x 10) = 224/10
step 4
224 tenths is the fraction form of 22.4, however, it can be reduced further. To simplify 224/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 224 and 10 cancel each other.
224/10 = (2 x 112)/(2 x 5)
= 112/5
224/10 = 112/5
Hence,
22.4 as a fraction is 112/5.
Converting decimals like 22.4 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 22.4 to fraction form. In this case, 22.4 can be recognized as 224 tenths. So, the fraction form of 22.4 is 224/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 224/10 in its simplest form.