What is 66.6 as a fraction?
66.6 as a fraction is 666/10 and its simplest form is 333/5.
Learn how to find what is 66.6 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 66.6 in its equivalent fraction form. It is required to recognize the decimal point 66.6 as 666 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 66.6 as a fraction and how it can be found easily.
Summary: 66.6 in fraction form
66.6 can be recognized as 666 tenths, which can be represented as 666/10 in fraction form. The simplest form of 666/10 is 333/5. Therefore, 66.6 as a fraction is 333/5.
Write 66.6 as a fraction in simplest form.
66.6 = (?)
66.6 = 66.6/1
= (66.6/1) x (10/10) //66.6 can be recognized as 666 tenths.
= 666/10 //666 tenths is equal to 666/10 and it can be simplified further.
= (666/2)/(10/2) //2 is the GCF of 666 and 10. Divide both 666 and 10 by the GCF 2 to simplify the fraction.
= 333/5
66.6 = 333/5
66.6 in its simplest fraction form is 333/5.
So, what is the fraction of 66.6?
It is 666/10 in fraction. To simplify 666/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 666 by 2 gives 333,
and dividing 10 by 2 gives 5. Thus, 666/10 simplifies to 333/5
Refer to the step by step work further to learn how to find what is 66.6 as a fraction in simple form.
step 1
Input values:
The decimal number = 66.6
What to be found:
What is 66.6 as a fraction in simplest form?
step 2 Write 66.6 as a simple fraction.
66.6/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 66.6/1.
Since the decimal 66.6 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 66.6/1 to make numerator as a whole number.
(66.6 x 10)/(1 x 10) = 666/10
step 4
666 tenths is the fraction form of 66.6, however, it can be reduced further. To simplify 666/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 666 and 10 cancel each other.
666/10 = (2 x 333)/(2 x 5)
= 333/5
666/10 = 333/5
Hence,
66.6 as a fraction is 333/5.
Converting decimals like 66.6 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 66.6 to fraction form. In this case, 66.6 can be recognized as 666 tenths. So, the fraction form of 66.6 is 666/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 666/10 in its simplest form.