What is 10.4 as a fraction?
10.4 as a fraction is 104/10 and its simplest form is 52/5.
Learn how to find what is 10.4 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 10.4 in its equivalent fraction form. It is required to recognize the decimal point 10.4 as 104 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 10.4 as a fraction and how it can be found easily.
Summary: 10.4 in fraction form
10.4 can be recognized as 104 tenths, which can be represented as 104/10 in fraction form. The simplest form of 104/10 is 52/5. Therefore, 10.4 as a fraction is 52/5.
Write 10.4 as a fraction in simplest form.
10.4 = (?)
10.4 = 10.4/1
= (10.4/1) x (10/10) //10.4 can be recognized as 104 tenths.
= 104/10 //104 tenths is equal to 104/10 and it can be simplified further.
= (104/2)/(10/2) //2 is the GCF of 104 and 10. Divide both 104 and 10 by the GCF 2 to simplify the fraction.
= 52/5
10.4 = 52/5
10.4 in its simplest fraction form is 52/5.
So, what is the fraction of 10.4?
It is 104/10 in fraction. To simplify 104/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 104 by 2 gives 52,
and dividing 10 by 2 gives 5. Thus, 104/10 simplifies to 52/5
Refer to the step by step work further to learn how to find what is 10.4 as a fraction in simple form.
step 1
Input values:
The decimal number = 10.4
What to be found:
What is 10.4 as a fraction in simplest form?
step 2 Write 10.4 as a simple fraction.
10.4/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 10.4/1.
Since the decimal 10.4 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 10.4/1 to make numerator as a whole number.
(10.4 x 10)/(1 x 10) = 104/10
step 4
104 tenths is the fraction form of 10.4, however, it can be reduced further. To simplify 104/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 104 and 10 cancel each other.
104/10 = (2 x 52)/(2 x 5)
= 52/5
104/10 = 52/5
Hence,
10.4 as a fraction is 52/5.
Converting decimals like 10.4 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 10.4 to fraction form. In this case, 10.4 can be recognized as 104 tenths. So, the fraction form of 10.4 is 104/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 104/10 in its simplest form.