What is 0.265 as a fraction?
0.265 as a fraction is 265/1000 and its simplest form is 53/200.
Learn how to find what is 0.265 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 0.265 in its equivalent fraction form. It is required to recognize the decimal point 0.265 as 265 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.265 as a fraction and how it can be found easily.
Summary: 0.265 in fraction form
0.265 can be recognized as 265 thousandths, which can be represented as 265/1000 in fraction form. The simplest form of 265/1000 is 53/200. Therefore, 0.265 as a fraction is 53/200.
Write 0.265 as a fraction in simplest form.
0.265 = (?)
0.265 = 0.265/1
= (0.265/1) x (1000/1000) //0.265 can be recognized as 265 thousandths.
= 265/1000 //265 thousandths is equal to 265/1000 and it can be simplified further.
= (265/5)/(1000/5) //5 is the GCF of 265 and 1000. Divide both 265 and 1000 by the GCF 5 to simplify the fraction.
= 53/200
0.265 = 53/200
0.265 in its simplest fraction form is 53/200.
So, what is the fraction of 0.265?
It is 265/1000 in fraction. To simplify 265/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 265 by 5 gives 53,
and dividing 1000 by 5 gives 200. Thus, 265/1000 simplifies to 53/200
Refer to the step by step work further to learn how to find what is 0.265 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.265
What to be found:
What is 0.265 as a fraction in simplest form?
step 2 Write 0.265 as a simple fraction.
0.265/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.265/1.
Since the decimal 0.265 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.265/1 to make numerator as a whole number.
(0.265 x 1000)/(1 x 1000) = 265/1000
step 4
265 thousandths is the fraction form of 0.265, however, it can be reduced further. To simplify 265/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 265 and 1000 cancel each other.
265/1000 = (5 x 53)/(5 x 200)
= 53/200
265/1000 = 53/200
Hence,
0.265 as a fraction is 53/200.
Converting decimals like 0.265 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.265 to fraction form. In this case, 0.265 can be recognized as 265 thousandths. So, the fraction form of 0.265 is 265/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 265/1000 in its simplest form.