What is 37.2 as a fraction?
37.2 as a fraction is 372/10 and its simplest form is 186/5.
Learn how to find what is 37.2 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 37.2 in its equivalent fraction form. It is required to recognize the decimal point 37.2 as 372 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 37.2 as a fraction and how it can be found easily.
Summary: 37.2 in fraction form
37.2 can be recognized as 372 tenths, which can be represented as 372/10 in fraction form. The simplest form of 372/10 is 186/5. Therefore, 37.2 as a fraction is 186/5.
Write 37.2 as a fraction in simplest form.
37.2 = (?)
37.2 = 37.2/1
= (37.2/1) x (10/10) //37.2 can be recognized as 372 tenths.
= 372/10 //372 tenths is equal to 372/10 and it can be simplified further.
= (372/2)/(10/2) //2 is the GCF of 372 and 10. Divide both 372 and 10 by the GCF 2 to simplify the fraction.
= 186/5
37.2 = 186/5
37.2 in its simplest fraction form is 186/5.
So, what is the fraction of 37.2?
It is 372/10 in fraction. To simplify 372/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 372 by 2 gives 186,
and dividing 10 by 2 gives 5. Thus, 372/10 simplifies to 186/5
Refer to the step by step work further to learn how to find what is 37.2 as a fraction in simple form.
step 1
Input values:
The decimal number = 37.2
What to be found:
What is 37.2 as a fraction in simplest form?
step 2 Write 37.2 as a simple fraction.
37.2/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 37.2/1.
Since the decimal 37.2 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 37.2/1 to make numerator as a whole number.
(37.2 x 10)/(1 x 10) = 372/10
step 4
372 tenths is the fraction form of 37.2, however, it can be reduced further. To simplify 372/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 372 and 10 cancel each other.
372/10 = (2 x 186)/(2 x 5)
= 186/5
372/10 = 186/5
Hence,
37.2 as a fraction is 186/5.
Converting decimals like 37.2 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 37.2 to fraction form. In this case, 37.2 can be recognized as 372 tenths. So, the fraction form of 37.2 is 372/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 372/10 in its simplest form.