What is 0.548 as a fraction?
0.548 as a fraction is 548/1000 and its simplest form is 137/250.
Learn how to find what is 0.548 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 0.548 in its equivalent fraction form. It is required to recognize the decimal point 0.548 as 548 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.548 as a fraction and how it can be found easily.
Summary: 0.548 in fraction form
0.548 can be recognized as 548 thousandths, which can be represented as 548/1000 in fraction form. The simplest form of 548/1000 is 137/250. Therefore, 0.548 as a fraction is 137/250.
Write 0.548 as a fraction in simplest form.
0.548 = (?)
0.548 = 0.548/1
= (0.548/1) x (1000/1000) //0.548 can be recognized as 548 thousandths.
= 548/1000 //548 thousandths is equal to 548/1000 and it can be simplified further.
= (548/4)/(1000/4) //4 is the GCF of 548 and 1000. Divide both 548 and 1000 by the GCF 4 to simplify the fraction.
= 137/250
0.548 = 137/250
0.548 in its simplest fraction form is 137/250.
So, what is the fraction of 0.548?
It is 548/1000 in fraction. To simplify 548/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 548 by 4 gives 137,
and dividing 1000 by 4 gives 250. Thus, 548/1000 simplifies to 137/250
Refer to the step by step work further to learn how to find what is 0.548 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.548
What to be found:
What is 0.548 as a fraction in simplest form?
step 2 Write 0.548 as a simple fraction.
0.548/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.548/1.
Since the decimal 0.548 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.548/1 to make numerator as a whole number.
(0.548 x 1000)/(1 x 1000) = 548/1000
step 4
548 thousandths is the fraction form of 0.548, however, it can be reduced further. To simplify 548/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 548 and 1000 cancel each other.
548/1000 = (4 x 137)/(4 x 250)
= 137/250
548/1000 = 137/250
Hence,
0.548 as a fraction is 137/250.
Converting decimals like 0.548 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.548 to fraction form. In this case, 0.548 can be recognized as 548 thousandths. So, the fraction form of 0.548 is 548/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 548/1000 in its simplest form.