What is 0.162 as a fraction?
0.162 as a fraction is 162/1000 and its simplest form is 81/500.
Learn how to find what is 0.162 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 0.162 in its equivalent fraction form. It is required to recognize the decimal point 0.162 as 162 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.162 as a fraction and how it can be found easily.
Summary: 0.162 in fraction form
0.162 can be recognized as 162 thousandths, which can be represented as 162/1000 in fraction form. The simplest form of 162/1000 is 81/500. Therefore, 0.162 as a fraction is 81/500.
Write 0.162 as a fraction in simplest form.
0.162 = (?)
0.162 = 0.162/1
= (0.162/1) x (1000/1000) //0.162 can be recognized as 162 thousandths.
= 162/1000 //162 thousandths is equal to 162/1000 and it can be simplified further.
= (162/2)/(1000/2) //2 is the GCF of 162 and 1000. Divide both 162 and 1000 by the GCF 2 to simplify the fraction.
= 81/500
0.162 = 81/500
0.162 in its simplest fraction form is 81/500.
So, what is the fraction of 0.162?
It is 162/1000 in fraction. To simplify 162/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 162 by 2 gives 81,
and dividing 1000 by 2 gives 500. Thus, 162/1000 simplifies to 81/500
Refer to the step by step work further to learn how to find what is 0.162 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.162
What to be found:
What is 0.162 as a fraction in simplest form?
step 2 Write 0.162 as a simple fraction.
0.162/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.162/1.
Since the decimal 0.162 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.162/1 to make numerator as a whole number.
(0.162 x 1000)/(1 x 1000) = 162/1000
step 4
162 thousandths is the fraction form of 0.162, however, it can be reduced further. To simplify 162/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 162 and 1000 cancel each other.
162/1000 = (2 x 81)/(2 x 500)
= 81/500
162/1000 = 81/500
Hence,
0.162 as a fraction is 81/500.
Converting decimals like 0.162 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.162 to fraction form. In this case, 0.162 can be recognized as 162 thousandths. So, the fraction form of 0.162 is 162/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 162/1000 in its simplest form.