What is 0.546 as a fraction?
0.546 as a fraction is 546/1000 and its simplest form is 273/500.
Learn how to find what is 0.546 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 0.546 in its equivalent fraction form. It is required to recognize the decimal point 0.546 as 546 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.546 as a fraction and how it can be found easily.
Summary: 0.546 in fraction form
0.546 can be recognized as 546 thousandths, which can be represented as 546/1000 in fraction form. The simplest form of 546/1000 is 273/500. Therefore, 0.546 as a fraction is 273/500.
Write 0.546 as a fraction in simplest form.
0.546 = (?)
0.546 = 0.546/1
= (0.546/1) x (1000/1000) //0.546 can be recognized as 546 thousandths.
= 546/1000 //546 thousandths is equal to 546/1000 and it can be simplified further.
= (546/2)/(1000/2) //2 is the GCF of 546 and 1000. Divide both 546 and 1000 by the GCF 2 to simplify the fraction.
= 273/500
0.546 = 273/500
0.546 in its simplest fraction form is 273/500.
So, what is the fraction of 0.546?
It is 546/1000 in fraction. To simplify 546/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 546 by 2 gives 273,
and dividing 1000 by 2 gives 500. Thus, 546/1000 simplifies to 273/500
Refer to the step by step work further to learn how to find what is 0.546 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.546
What to be found:
What is 0.546 as a fraction in simplest form?
step 2 Write 0.546 as a simple fraction.
0.546/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.546/1.
Since the decimal 0.546 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.546/1 to make numerator as a whole number.
(0.546 x 1000)/(1 x 1000) = 546/1000
step 4
546 thousandths is the fraction form of 0.546, however, it can be reduced further. To simplify 546/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 546 and 1000 cancel each other.
546/1000 = (2 x 273)/(2 x 500)
= 273/500
546/1000 = 273/500
Hence,
0.546 as a fraction is 273/500.
Converting decimals like 0.546 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.546 to fraction form. In this case, 0.546 can be recognized as 546 thousandths. So, the fraction form of 0.546 is 546/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 546/1000 in its simplest form.