What is 0.262 as a fraction?
0.262 as a fraction is 262/1000 and its simplest form is 131/500.
Learn how to find what is 0.262 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 0.262 in its equivalent fraction form. It is required to recognize the decimal point 0.262 as 262 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.262 as a fraction and how it can be found easily.
Summary: 0.262 in fraction form
0.262 can be recognized as 262 thousandths, which can be represented as 262/1000 in fraction form. The simplest form of 262/1000 is 131/500. Therefore, 0.262 as a fraction is 131/500.
Write 0.262 as a fraction in simplest form.
0.262 = (?)
0.262 = 0.262/1
= (0.262/1) x (1000/1000) //0.262 can be recognized as 262 thousandths.
= 262/1000 //262 thousandths is equal to 262/1000 and it can be simplified further.
= (262/2)/(1000/2) //2 is the GCF of 262 and 1000. Divide both 262 and 1000 by the GCF 2 to simplify the fraction.
= 131/500
0.262 = 131/500
0.262 in its simplest fraction form is 131/500.
So, what is the fraction of 0.262?
It is 262/1000 in fraction. To simplify 262/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 262 by 2 gives 131,
and dividing 1000 by 2 gives 500. Thus, 262/1000 simplifies to 131/500
Refer to the step by step work further to learn how to find what is 0.262 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.262
What to be found:
What is 0.262 as a fraction in simplest form?
step 2 Write 0.262 as a simple fraction.
0.262/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.262/1.
Since the decimal 0.262 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.262/1 to make numerator as a whole number.
(0.262 x 1000)/(1 x 1000) = 262/1000
step 4
262 thousandths is the fraction form of 0.262, however, it can be reduced further. To simplify 262/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 262 and 1000 cancel each other.
262/1000 = (2 x 131)/(2 x 500)
= 131/500
262/1000 = 131/500
Hence,
0.262 as a fraction is 131/500.
Converting decimals like 0.262 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.262 to fraction form. In this case, 0.262 can be recognized as 262 thousandths. So, the fraction form of 0.262 is 262/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 262/1000 in its simplest form.