What is 66.2 as a fraction?
66.2 as a fraction is 662/10 and its simplest form is 331/5.
Learn how to find what is 66.2 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 66.2 in its equivalent fraction form. It is required to recognize the decimal point 66.2 as 662 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 66.2 as a fraction and how it can be found easily.
Summary: 66.2 in fraction form
66.2 can be recognized as 662 tenths, which can be represented as 662/10 in fraction form. The simplest form of 662/10 is 331/5. Therefore, 66.2 as a fraction is 331/5.
Write 66.2 as a fraction in simplest form.
66.2 = (?)
66.2 = 66.2/1
= (66.2/1) x (10/10) //66.2 can be recognized as 662 tenths.
= 662/10 //662 tenths is equal to 662/10 and it can be simplified further.
= (662/2)/(10/2) //2 is the GCF of 662 and 10. Divide both 662 and 10 by the GCF 2 to simplify the fraction.
= 331/5
66.2 = 331/5
66.2 in its simplest fraction form is 331/5.
So, what is the fraction of 66.2?
It is 662/10 in fraction. To simplify 662/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 662 by 2 gives 331,
and dividing 10 by 2 gives 5. Thus, 662/10 simplifies to 331/5
Refer to the step by step work further to learn how to find what is 66.2 as a fraction in simple form.
step 1
Input values:
The decimal number = 66.2
What to be found:
What is 66.2 as a fraction in simplest form?
step 2 Write 66.2 as a simple fraction.
66.2/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 66.2/1.
Since the decimal 66.2 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 66.2/1 to make numerator as a whole number.
(66.2 x 10)/(1 x 10) = 662/10
step 4
662 tenths is the fraction form of 66.2, however, it can be reduced further. To simplify 662/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 662 and 10 cancel each other.
662/10 = (2 x 331)/(2 x 5)
= 331/5
662/10 = 331/5
Hence,
66.2 as a fraction is 331/5.
Converting decimals like 66.2 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 66.2 to fraction form. In this case, 66.2 can be recognized as 662 tenths. So, the fraction form of 66.2 is 662/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 662/10 in its simplest form.