What is 68.2 as a fraction?
68.2 as a fraction is 682/10 and its simplest form is 341/5.
Learn how to find what is 68.2 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 68.2 in its equivalent fraction form. It is required to recognize the decimal point 68.2 as 682 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 68.2 as a fraction and how it can be found easily.
Summary: 68.2 in fraction form
68.2 can be recognized as 682 tenths, which can be represented as 682/10 in fraction form. The simplest form of 682/10 is 341/5. Therefore, 68.2 as a fraction is 341/5.
Write 68.2 as a fraction in simplest form.
68.2 = (?)
68.2 = 68.2/1
= (68.2/1) x (10/10) //68.2 can be recognized as 682 tenths.
= 682/10 //682 tenths is equal to 682/10 and it can be simplified further.
= (682/2)/(10/2) //2 is the GCF of 682 and 10. Divide both 682 and 10 by the GCF 2 to simplify the fraction.
= 341/5
68.2 = 341/5
68.2 in its simplest fraction form is 341/5.
So, what is the fraction of 68.2?
It is 682/10 in fraction. To simplify 682/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 682 by 2 gives 341,
and dividing 10 by 2 gives 5. Thus, 682/10 simplifies to 341/5
Refer to the step by step work further to learn how to find what is 68.2 as a fraction in simple form.
step 1
Input values:
The decimal number = 68.2
What to be found:
What is 68.2 as a fraction in simplest form?
step 2 Write 68.2 as a simple fraction.
68.2/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 68.2/1.
Since the decimal 68.2 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 68.2/1 to make numerator as a whole number.
(68.2 x 10)/(1 x 10) = 682/10
step 4
682 tenths is the fraction form of 68.2, however, it can be reduced further. To simplify 682/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 682 and 10 cancel each other.
682/10 = (2 x 341)/(2 x 5)
= 341/5
682/10 = 341/5
Hence,
68.2 as a fraction is 341/5.
Converting decimals like 68.2 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 68.2 to fraction form. In this case, 68.2 can be recognized as 682 tenths. So, the fraction form of 68.2 is 682/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 682/10 in its simplest form.