What is 0.1667 as a fraction?
0.1667 as a fraction is 1667/10000 and its simplest form is 833.5/5000.
Learn how to find what is 0.1667 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 0.1667 in its equivalent fraction form. It is required to recognize the decimal point 0.1667 as 1667 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.1667 as a fraction and how it can be found easily.
Summary: 0.1667 in fraction form
0.1667 can be recognized as 1667 ten-thousandths, which can be represented as 1667/10000 in fraction form. The simplest form of 1667/10000 is 833.5/5000. Therefore, 0.1667 as a fraction is 833.5/5000.
Write 0.1667 as a fraction in simplest form.
0.1667 = (?)
0.1667 = 0.1667/1
= (0.1667/1) x (10000/10000) //0.1667 can be recognized as 1667 ten-thousandths.
= 1667/10000 //1667 ten-thousandths is equal to 1667/10000 and it can be simplified further.
= (1667/2)/(10000/2) //2 is the GCF of 1667 and 10000. Divide both 1667 and 10000 by the GCF 2 to simplify the fraction.
= 833.5/5000
0.1667 = 833.5/5000
0.1667 in its simplest fraction form is 833.5/5000.
So, what is the fraction of 0.1667?
It is 1667/10000 in fraction. To simplify 1667/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 1667 by 2 gives 833.5,
and dividing 10000 by 2 gives 5000. Thus, 1667/10000 simplifies to 833.5/5000
Refer to the step by step work further to learn how to find what is 0.1667 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.1667
What to be found:
What is 0.1667 as a fraction in simplest form?
step 2 Write 0.1667 as a simple fraction.
0.1667/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.1667/1.
Since the decimal 0.1667 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.1667/1 to make numerator as a whole number.
(0.1667 x 10000)/(1 x 10000) = 1667/10000
step 4
1667 ten-thousandths is the fraction form of 0.1667, however, it can be reduced further. To simplify 1667/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 1667 and 10000 cancel each other.
1667/10000 = (2 x 833.5)/(2 x 5000)
= 833.5/5000
1667/10000 = 833.5/5000
Hence,
0.1667 as a fraction is 833.5/5000.
Converting decimals like 0.1667 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.1667 to fraction form. In this case, 0.1667 can be recognized as 1667 ten-thousandths. So, the fraction form of 0.1667 is 1667/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 1667/10000 in its simplest form.