What is 0.264 as a fraction?
0.264 as a fraction is 264/1000 and its simplest form is 33/125.
Learn how to find what is 0.264 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 0.264 in its equivalent fraction form. It is required to recognize the decimal point 0.264 as 264 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.264 as a fraction and how it can be found easily.
Summary: 0.264 in fraction form
0.264 can be recognized as 264 thousandths, which can be represented as 264/1000 in fraction form. The simplest form of 264/1000 is 33/125. Therefore, 0.264 as a fraction is 33/125.
Write 0.264 as a fraction in simplest form.
0.264 = (?)
0.264 = 0.264/1
= (0.264/1) x (1000/1000) //0.264 can be recognized as 264 thousandths.
= 264/1000 //264 thousandths is equal to 264/1000 and it can be simplified further.
= (264/8)/(1000/8) //8 is the GCF of 264 and 1000. Divide both 264 and 1000 by the GCF 8 to simplify the fraction.
= 33/125
0.264 = 33/125
0.264 in its simplest fraction form is 33/125.
So, what is the fraction of 0.264?
It is 264/1000 in fraction. To simplify 264/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 264 by 8 gives 33,
and dividing 1000 by 8 gives 125. Thus, 264/1000 simplifies to 33/125
Refer to the step by step work further to learn how to find what is 0.264 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.264
What to be found:
What is 0.264 as a fraction in simplest form?
step 2 Write 0.264 as a simple fraction.
0.264/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.264/1.
Since the decimal 0.264 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.264/1 to make numerator as a whole number.
(0.264 x 1000)/(1 x 1000) = 264/1000
step 4
264 thousandths is the fraction form of 0.264, however, it can be reduced further. To simplify 264/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 264 and 1000 cancel each other.
264/1000 = (8 x 33)/(8 x 125)
= 33/125
264/1000 = 33/125
Hence,
0.264 as a fraction is 33/125.
Converting decimals like 0.264 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.264 to fraction form. In this case, 0.264 can be recognized as 264 thousandths. So, the fraction form of 0.264 is 264/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 264/1000 in its simplest form.