What is 46.4 as a fraction?
46.4 as a fraction is 464/10 and its simplest form is 232/5.
Learn how to find what is 46.4 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 46.4 in its equivalent fraction form. It is required to recognize the decimal point 46.4 as 464 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 46.4 as a fraction and how it can be found easily.
Summary: 46.4 in fraction form
46.4 can be recognized as 464 tenths, which can be represented as 464/10 in fraction form. The simplest form of 464/10 is 232/5. Therefore, 46.4 as a fraction is 232/5.
Write 46.4 as a fraction in simplest form.
46.4 = (?)
46.4 = 46.4/1
= (46.4/1) x (10/10) //46.4 can be recognized as 464 tenths.
= 464/10 //464 tenths is equal to 464/10 and it can be simplified further.
= (464/2)/(10/2) //2 is the GCF of 464 and 10. Divide both 464 and 10 by the GCF 2 to simplify the fraction.
= 232/5
46.4 = 232/5
46.4 in its simplest fraction form is 232/5.
So, what is the fraction of 46.4?
It is 464/10 in fraction. To simplify 464/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 464 by 2 gives 232,
and dividing 10 by 2 gives 5. Thus, 464/10 simplifies to 232/5
Refer to the step by step work further to learn how to find what is 46.4 as a fraction in simple form.
step 1
Input values:
The decimal number = 46.4
What to be found:
What is 46.4 as a fraction in simplest form?
step 2 Write 46.4 as a simple fraction.
46.4/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 46.4/1.
Since the decimal 46.4 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 46.4/1 to make numerator as a whole number.
(46.4 x 10)/(1 x 10) = 464/10
step 4
464 tenths is the fraction form of 46.4, however, it can be reduced further. To simplify 464/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 464 and 10 cancel each other.
464/10 = (2 x 232)/(2 x 5)
= 232/5
464/10 = 232/5
Hence,
46.4 as a fraction is 232/5.
Converting decimals like 46.4 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 46.4 to fraction form. In this case, 46.4 can be recognized as 464 tenths. So, the fraction form of 46.4 is 464/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 464/10 in its simplest form.