What is 0.266 as a fraction?
0.266 as a fraction is 266/1000 and its simplest form is 133/500.
Learn how to find what is 0.266 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 0.266 in its equivalent fraction form. It is required to recognize the decimal point 0.266 as 266 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.266 as a fraction and how it can be found easily.
Summary: 0.266 in fraction form
0.266 can be recognized as 266 thousandths, which can be represented as 266/1000 in fraction form. The simplest form of 266/1000 is 133/500. Therefore, 0.266 as a fraction is 133/500.
Write 0.266 as a fraction in simplest form.
0.266 = (?)
0.266 = 0.266/1
= (0.266/1) x (1000/1000) //0.266 can be recognized as 266 thousandths.
= 266/1000 //266 thousandths is equal to 266/1000 and it can be simplified further.
= (266/2)/(1000/2) //2 is the GCF of 266 and 1000. Divide both 266 and 1000 by the GCF 2 to simplify the fraction.
= 133/500
0.266 = 133/500
0.266 in its simplest fraction form is 133/500.
So, what is the fraction of 0.266?
It is 266/1000 in fraction. To simplify 266/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 266 by 2 gives 133,
and dividing 1000 by 2 gives 500. Thus, 266/1000 simplifies to 133/500
Refer to the step by step work further to learn how to find what is 0.266 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.266
What to be found:
What is 0.266 as a fraction in simplest form?
step 2 Write 0.266 as a simple fraction.
0.266/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.266/1.
Since the decimal 0.266 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.266/1 to make numerator as a whole number.
(0.266 x 1000)/(1 x 1000) = 266/1000
step 4
266 thousandths is the fraction form of 0.266, however, it can be reduced further. To simplify 266/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 266 and 1000 cancel each other.
266/1000 = (2 x 133)/(2 x 500)
= 133/500
266/1000 = 133/500
Hence,
0.266 as a fraction is 133/500.
Converting decimals like 0.266 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.266 to fraction form. In this case, 0.266 can be recognized as 266 thousandths. So, the fraction form of 0.266 is 266/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 266/1000 in its simplest form.