What is 24.4 as a fraction?
24.4 as a fraction is 244/10 and its simplest form is 122/5.
Learn how to find what is 24.4 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 24.4 in its equivalent fraction form. It is required to recognize the decimal point 24.4 as 244 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 24.4 as a fraction and how it can be found easily.
Summary: 24.4 in fraction form
24.4 can be recognized as 244 tenths, which can be represented as 244/10 in fraction form. The simplest form of 244/10 is 122/5. Therefore, 24.4 as a fraction is 122/5.
Write 24.4 as a fraction in simplest form.
24.4 = (?)
24.4 = 24.4/1
= (24.4/1) x (10/10) //24.4 can be recognized as 244 tenths.
= 244/10 //244 tenths is equal to 244/10 and it can be simplified further.
= (244/2)/(10/2) //2 is the GCF of 244 and 10. Divide both 244 and 10 by the GCF 2 to simplify the fraction.
= 122/5
24.4 = 122/5
24.4 in its simplest fraction form is 122/5.
So, what is the fraction of 24.4?
It is 244/10 in fraction. To simplify 244/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 244 by 2 gives 122,
and dividing 10 by 2 gives 5. Thus, 244/10 simplifies to 122/5
Refer to the step by step work further to learn how to find what is 24.4 as a fraction in simple form.
step 1
Input values:
The decimal number = 24.4
What to be found:
What is 24.4 as a fraction in simplest form?
step 2 Write 24.4 as a simple fraction.
24.4/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 24.4/1.
Since the decimal 24.4 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 24.4/1 to make numerator as a whole number.
(24.4 x 10)/(1 x 10) = 244/10
step 4
244 tenths is the fraction form of 24.4, however, it can be reduced further. To simplify 244/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 244 and 10 cancel each other.
244/10 = (2 x 122)/(2 x 5)
= 122/5
244/10 = 122/5
Hence,
24.4 as a fraction is 122/5.
Converting decimals like 24.4 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 24.4 to fraction form. In this case, 24.4 can be recognized as 244 tenths. So, the fraction form of 24.4 is 244/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 244/10 in its simplest form.