What is 0.168 as a fraction?
0.168 as a fraction is 168/1000 and its simplest form is 21/125.
Learn how to find what is 0.168 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 0.168 in its equivalent fraction form. It is required to recognize the decimal point 0.168 as 168 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.168 as a fraction and how it can be found easily.
Summary: 0.168 in fraction form
0.168 can be recognized as 168 thousandths, which can be represented as 168/1000 in fraction form. The simplest form of 168/1000 is 21/125. Therefore, 0.168 as a fraction is 21/125.
Write 0.168 as a fraction in simplest form.
0.168 = (?)
0.168 = 0.168/1
= (0.168/1) x (1000/1000) //0.168 can be recognized as 168 thousandths.
= 168/1000 //168 thousandths is equal to 168/1000 and it can be simplified further.
= (168/8)/(1000/8) //8 is the GCF of 168 and 1000. Divide both 168 and 1000 by the GCF 8 to simplify the fraction.
= 21/125
0.168 = 21/125
0.168 in its simplest fraction form is 21/125.
So, what is the fraction of 0.168?
It is 168/1000 in fraction. To simplify 168/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 168 by 8 gives 21,
and dividing 1000 by 8 gives 125. Thus, 168/1000 simplifies to 21/125
Refer to the step by step work further to learn how to find what is 0.168 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.168
What to be found:
What is 0.168 as a fraction in simplest form?
step 2 Write 0.168 as a simple fraction.
0.168/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.168/1.
Since the decimal 0.168 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.168/1 to make numerator as a whole number.
(0.168 x 1000)/(1 x 1000) = 168/1000
step 4
168 thousandths is the fraction form of 0.168, however, it can be reduced further. To simplify 168/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 168 and 1000 cancel each other.
168/1000 = (8 x 21)/(8 x 125)
= 21/125
168/1000 = 21/125
Hence,
0.168 as a fraction is 21/125.
Converting decimals like 0.168 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.168 to fraction form. In this case, 0.168 can be recognized as 168 thousandths. So, the fraction form of 0.168 is 168/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 168/1000 in its simplest form.