What is 0.164 as a fraction?
0.164 as a fraction is 164/1000 and its simplest form is 41/250.
Learn how to find what is 0.164 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 0.164 in its equivalent fraction form. It is required to recognize the decimal point 0.164 as 164 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.164 as a fraction and how it can be found easily.
Summary: 0.164 in fraction form
0.164 can be recognized as 164 thousandths, which can be represented as 164/1000 in fraction form. The simplest form of 164/1000 is 41/250. Therefore, 0.164 as a fraction is 41/250.
Write 0.164 as a fraction in simplest form.
0.164 = (?)
0.164 = 0.164/1
= (0.164/1) x (1000/1000) //0.164 can be recognized as 164 thousandths.
= 164/1000 //164 thousandths is equal to 164/1000 and it can be simplified further.
= (164/4)/(1000/4) //4 is the GCF of 164 and 1000. Divide both 164 and 1000 by the GCF 4 to simplify the fraction.
= 41/250
0.164 = 41/250
0.164 in its simplest fraction form is 41/250.
So, what is the fraction of 0.164?
It is 164/1000 in fraction. To simplify 164/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 164 by 4 gives 41,
and dividing 1000 by 4 gives 250. Thus, 164/1000 simplifies to 41/250
Refer to the step by step work further to learn how to find what is 0.164 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.164
What to be found:
What is 0.164 as a fraction in simplest form?
step 2 Write 0.164 as a simple fraction.
0.164/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.164/1.
Since the decimal 0.164 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.164/1 to make numerator as a whole number.
(0.164 x 1000)/(1 x 1000) = 164/1000
step 4
164 thousandths is the fraction form of 0.164, however, it can be reduced further. To simplify 164/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 164 and 1000 cancel each other.
164/1000 = (4 x 41)/(4 x 250)
= 41/250
164/1000 = 41/250
Hence,
0.164 as a fraction is 41/250.
Converting decimals like 0.164 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.164 to fraction form. In this case, 0.164 can be recognized as 164 thousandths. So, the fraction form of 0.164 is 164/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 164/1000 in its simplest form.