What is 67.8 as a fraction?
67.8 as a fraction is 678/10 and its simplest form is 339/5.
Learn how to find what is 67.8 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 67.8 in its equivalent fraction form. It is required to recognize the decimal point 67.8 as 678 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 67.8 as a fraction and how it can be found easily.
Summary: 67.8 in fraction form
67.8 can be recognized as 678 tenths, which can be represented as 678/10 in fraction form. The simplest form of 678/10 is 339/5. Therefore, 67.8 as a fraction is 339/5.
Write 67.8 as a fraction in simplest form.
67.8 = (?)
67.8 = 67.8/1
= (67.8/1) x (10/10) //67.8 can be recognized as 678 tenths.
= 678/10 //678 tenths is equal to 678/10 and it can be simplified further.
= (678/2)/(10/2) //2 is the GCF of 678 and 10. Divide both 678 and 10 by the GCF 2 to simplify the fraction.
= 339/5
67.8 = 339/5
67.8 in its simplest fraction form is 339/5.
So, what is the fraction of 67.8?
It is 678/10 in fraction. To simplify 678/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 678 by 2 gives 339,
and dividing 10 by 2 gives 5. Thus, 678/10 simplifies to 339/5
Refer to the step by step work further to learn how to find what is 67.8 as a fraction in simple form.
step 1
Input values:
The decimal number = 67.8
What to be found:
What is 67.8 as a fraction in simplest form?
step 2 Write 67.8 as a simple fraction.
67.8/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 67.8/1.
Since the decimal 67.8 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 67.8/1 to make numerator as a whole number.
(67.8 x 10)/(1 x 10) = 678/10
step 4
678 tenths is the fraction form of 67.8, however, it can be reduced further. To simplify 678/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 678 and 10 cancel each other.
678/10 = (2 x 339)/(2 x 5)
= 339/5
678/10 = 339/5
Hence,
67.8 as a fraction is 339/5.
Converting decimals like 67.8 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 67.8 to fraction form. In this case, 67.8 can be recognized as 678 tenths. So, the fraction form of 67.8 is 678/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 678/10 in its simplest form.