What is 68.4 as a fraction?
68.4 as a fraction is 684/10 and its simplest form is 342/5.
Learn how to find what is 68.4 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 68.4 in its equivalent fraction form. It is required to recognize the decimal point 68.4 as 684 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 68.4 as a fraction and how it can be found easily.
Summary: 68.4 in fraction form
68.4 can be recognized as 684 tenths, which can be represented as 684/10 in fraction form. The simplest form of 684/10 is 342/5. Therefore, 68.4 as a fraction is 342/5.
Write 68.4 as a fraction in simplest form.
68.4 = (?)
68.4 = 68.4/1
= (68.4/1) x (10/10) //68.4 can be recognized as 684 tenths.
= 684/10 //684 tenths is equal to 684/10 and it can be simplified further.
= (684/2)/(10/2) //2 is the GCF of 684 and 10. Divide both 684 and 10 by the GCF 2 to simplify the fraction.
= 342/5
68.4 = 342/5
68.4 in its simplest fraction form is 342/5.
So, what is the fraction of 68.4?
It is 684/10 in fraction. To simplify 684/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 684 by 2 gives 342,
and dividing 10 by 2 gives 5. Thus, 684/10 simplifies to 342/5
Refer to the step by step work further to learn how to find what is 68.4 as a fraction in simple form.
step 1
Input values:
The decimal number = 68.4
What to be found:
What is 68.4 as a fraction in simplest form?
step 2 Write 68.4 as a simple fraction.
68.4/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 68.4/1.
Since the decimal 68.4 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 68.4/1 to make numerator as a whole number.
(68.4 x 10)/(1 x 10) = 684/10
step 4
684 tenths is the fraction form of 68.4, however, it can be reduced further. To simplify 684/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 684 and 10 cancel each other.
684/10 = (2 x 342)/(2 x 5)
= 342/5
684/10 = 342/5
Hence,
68.4 as a fraction is 342/5.
Converting decimals like 68.4 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 68.4 to fraction form. In this case, 68.4 can be recognized as 684 tenths. So, the fraction form of 68.4 is 684/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 684/10 in its simplest form.