What is 65.2 as a fraction?
65.2 as a fraction is 652/10 and its simplest form is 326/5.
Learn how to find what is 65.2 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 65.2 in its equivalent fraction form. It is required to recognize the decimal point 65.2 as 652 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 65.2 as a fraction and how it can be found easily.
Summary: 65.2 in fraction form
65.2 can be recognized as 652 tenths, which can be represented as 652/10 in fraction form. The simplest form of 652/10 is 326/5. Therefore, 65.2 as a fraction is 326/5.
Write 65.2 as a fraction in simplest form.
65.2 = (?)
65.2 = 65.2/1
= (65.2/1) x (10/10) //65.2 can be recognized as 652 tenths.
= 652/10 //652 tenths is equal to 652/10 and it can be simplified further.
= (652/2)/(10/2) //2 is the GCF of 652 and 10. Divide both 652 and 10 by the GCF 2 to simplify the fraction.
= 326/5
65.2 = 326/5
65.2 in its simplest fraction form is 326/5.
So, what is the fraction of 65.2?
It is 652/10 in fraction. To simplify 652/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 652 by 2 gives 326,
and dividing 10 by 2 gives 5. Thus, 652/10 simplifies to 326/5
Refer to the step by step work further to learn how to find what is 65.2 as a fraction in simple form.
step 1
Input values:
The decimal number = 65.2
What to be found:
What is 65.2 as a fraction in simplest form?
step 2 Write 65.2 as a simple fraction.
65.2/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 65.2/1.
Since the decimal 65.2 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 65.2/1 to make numerator as a whole number.
(65.2 x 10)/(1 x 10) = 652/10
step 4
652 tenths is the fraction form of 65.2, however, it can be reduced further. To simplify 652/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 652 and 10 cancel each other.
652/10 = (2 x 326)/(2 x 5)
= 326/5
652/10 = 326/5
Hence,
65.2 as a fraction is 326/5.
Converting decimals like 65.2 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 65.2 to fraction form. In this case, 65.2 can be recognized as 652 tenths. So, the fraction form of 65.2 is 652/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 652/10 in its simplest form.