What is 67.6 as a fraction?
67.6 as a fraction is 676/10 and its simplest form is 338/5.
Learn how to find what is 67.6 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 67.6 in its equivalent fraction form. It is required to recognize the decimal point 67.6 as 676 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 67.6 as a fraction and how it can be found easily.
Summary: 67.6 in fraction form
67.6 can be recognized as 676 tenths, which can be represented as 676/10 in fraction form. The simplest form of 676/10 is 338/5. Therefore, 67.6 as a fraction is 338/5.
Write 67.6 as a fraction in simplest form.
67.6 = (?)
67.6 = 67.6/1
= (67.6/1) x (10/10) //67.6 can be recognized as 676 tenths.
= 676/10 //676 tenths is equal to 676/10 and it can be simplified further.
= (676/2)/(10/2) //2 is the GCF of 676 and 10. Divide both 676 and 10 by the GCF 2 to simplify the fraction.
= 338/5
67.6 = 338/5
67.6 in its simplest fraction form is 338/5.
So, what is the fraction of 67.6?
It is 676/10 in fraction. To simplify 676/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 676 by 2 gives 338,
and dividing 10 by 2 gives 5. Thus, 676/10 simplifies to 338/5
Refer to the step by step work further to learn how to find what is 67.6 as a fraction in simple form.
step 1
Input values:
The decimal number = 67.6
What to be found:
What is 67.6 as a fraction in simplest form?
step 2 Write 67.6 as a simple fraction.
67.6/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 67.6/1.
Since the decimal 67.6 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 67.6/1 to make numerator as a whole number.
(67.6 x 10)/(1 x 10) = 676/10
step 4
676 tenths is the fraction form of 67.6, however, it can be reduced further. To simplify 676/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 676 and 10 cancel each other.
676/10 = (2 x 338)/(2 x 5)
= 338/5
676/10 = 338/5
Hence,
67.6 as a fraction is 338/5.
Converting decimals like 67.6 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 67.6 to fraction form. In this case, 67.6 can be recognized as 676 tenths. So, the fraction form of 67.6 is 676/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 676/10 in its simplest form.