What is 36.2 as a fraction?
36.2 as a fraction is 362/10 and its simplest form is 181/5.
Learn how to find what is 36.2 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 36.2 in its equivalent fraction form. It is required to recognize the decimal point 36.2 as 362 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 36.2 as a fraction and how it can be found easily.
Summary: 36.2 in fraction form
36.2 can be recognized as 362 tenths, which can be represented as 362/10 in fraction form. The simplest form of 362/10 is 181/5. Therefore, 36.2 as a fraction is 181/5.
Write 36.2 as a fraction in simplest form.
36.2 = (?)
36.2 = 36.2/1
= (36.2/1) x (10/10) //36.2 can be recognized as 362 tenths.
= 362/10 //362 tenths is equal to 362/10 and it can be simplified further.
= (362/2)/(10/2) //2 is the GCF of 362 and 10. Divide both 362 and 10 by the GCF 2 to simplify the fraction.
= 181/5
36.2 = 181/5
36.2 in its simplest fraction form is 181/5.
So, what is the fraction of 36.2?
It is 362/10 in fraction. To simplify 362/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 362 by 2 gives 181,
and dividing 10 by 2 gives 5. Thus, 362/10 simplifies to 181/5
Refer to the step by step work further to learn how to find what is 36.2 as a fraction in simple form.
step 1
Input values:
The decimal number = 36.2
What to be found:
What is 36.2 as a fraction in simplest form?
step 2 Write 36.2 as a simple fraction.
36.2/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 36.2/1.
Since the decimal 36.2 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 36.2/1 to make numerator as a whole number.
(36.2 x 10)/(1 x 10) = 362/10
step 4
362 tenths is the fraction form of 36.2, however, it can be reduced further. To simplify 362/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 362 and 10 cancel each other.
362/10 = (2 x 181)/(2 x 5)
= 181/5
362/10 = 181/5
Hence,
36.2 as a fraction is 181/5.
Converting decimals like 36.2 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 36.2 to fraction form. In this case, 36.2 can be recognized as 362 tenths. So, the fraction form of 36.2 is 362/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 362/10 in its simplest form.