What is 36.4 as a fraction?
36.4 as a fraction is 364/10 and its simplest form is 182/5.
Learn how to find what is 36.4 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 36.4 in its equivalent fraction form. It is required to recognize the decimal point 36.4 as 364 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 36.4 as a fraction and how it can be found easily.
Summary: 36.4 in fraction form
36.4 can be recognized as 364 tenths, which can be represented as 364/10 in fraction form. The simplest form of 364/10 is 182/5. Therefore, 36.4 as a fraction is 182/5.
Write 36.4 as a fraction in simplest form.
36.4 = (?)
36.4 = 36.4/1
= (36.4/1) x (10/10) //36.4 can be recognized as 364 tenths.
= 364/10 //364 tenths is equal to 364/10 and it can be simplified further.
= (364/2)/(10/2) //2 is the GCF of 364 and 10. Divide both 364 and 10 by the GCF 2 to simplify the fraction.
= 182/5
36.4 = 182/5
36.4 in its simplest fraction form is 182/5.
So, what is the fraction of 36.4?
It is 364/10 in fraction. To simplify 364/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 364 by 2 gives 182,
and dividing 10 by 2 gives 5. Thus, 364/10 simplifies to 182/5
Refer to the step by step work further to learn how to find what is 36.4 as a fraction in simple form.
step 1
Input values:
The decimal number = 36.4
What to be found:
What is 36.4 as a fraction in simplest form?
step 2 Write 36.4 as a simple fraction.
36.4/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 36.4/1.
Since the decimal 36.4 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 36.4/1 to make numerator as a whole number.
(36.4 x 10)/(1 x 10) = 364/10
step 4
364 tenths is the fraction form of 36.4, however, it can be reduced further. To simplify 364/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 364 and 10 cancel each other.
364/10 = (2 x 182)/(2 x 5)
= 182/5
364/10 = 182/5
Hence,
36.4 as a fraction is 182/5.
Converting decimals like 36.4 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 36.4 to fraction form. In this case, 36.4 can be recognized as 364 tenths. So, the fraction form of 36.4 is 364/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 364/10 in its simplest form.