What is 16.4 as a fraction?
16.4 as a fraction is 164/10 and its simplest form is 82/5.
Learn how to find what is 16.4 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 16.4 in its equivalent fraction form. It is required to recognize the decimal point 16.4 as 164 tenths to get started with this decimal to fraction conversion. Continue reading to learn what is 16.4 as a fraction and how it can be found easily.
Summary: 16.4 in fraction form
16.4 can be recognized as 164 tenths, which can be represented as 164/10 in fraction form. The simplest form of 164/10 is 82/5. Therefore, 16.4 as a fraction is 82/5.
Write 16.4 as a fraction in simplest form.
16.4 = (?)
16.4 = 16.4/1
= (16.4/1) x (10/10) //16.4 can be recognized as 164 tenths.
= 164/10 //164 tenths is equal to 164/10 and it can be simplified further.
= (164/2)/(10/2) //2 is the GCF of 164 and 10. Divide both 164 and 10 by the GCF 2 to simplify the fraction.
= 82/5
16.4 = 82/5
16.4 in its simplest fraction form is 82/5.
So, what is the fraction of 16.4?
It is 164/10 in fraction. To simplify 164/10, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 164 by 2 gives 82,
and dividing 10 by 2 gives 5. Thus, 164/10 simplifies to 82/5
Refer to the step by step work further to learn how to find what is 16.4 as a fraction in simple form.
step 1
Input values:
The decimal number = 16.4
What to be found:
What is 16.4 as a fraction in simplest form?
step 2 Write 16.4 as a simple fraction.
16.4/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 16.4/1.
Since the decimal 16.4 has 1 digits after the decimal point, multiply 10 with both numerator and denominator of 16.4/1 to make numerator as a whole number.
(16.4 x 10)/(1 x 10) = 164/10
step 4
164 tenths is the fraction form of 16.4, however, it can be reduced further. To simplify 164/10, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 164 and 10 cancel each other.
164/10 = (2 x 82)/(2 x 5)
= 82/5
164/10 = 82/5
Hence,
16.4 as a fraction is 82/5.
Converting decimals like 16.4 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 16.4 to fraction form. In this case, 16.4 can be recognized as 164 tenths. So, the fraction form of 16.4 is 164/10. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 164/10 in its simplest form.