What is 0.542 as a fraction?
0.542 as a fraction is 542/1000 and its simplest form is 271/500.
Learn how to find what is 0.542 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 0.542 in its equivalent fraction form. It is required to recognize the decimal point 0.542 as 542 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.542 as a fraction and how it can be found easily.
Summary: 0.542 in fraction form
0.542 can be recognized as 542 thousandths, which can be represented as 542/1000 in fraction form. The simplest form of 542/1000 is 271/500. Therefore, 0.542 as a fraction is 271/500.
Write 0.542 as a fraction in simplest form.
0.542 = (?)
0.542 = 0.542/1
= (0.542/1) x (1000/1000) //0.542 can be recognized as 542 thousandths.
= 542/1000 //542 thousandths is equal to 542/1000 and it can be simplified further.
= (542/2)/(1000/2) //2 is the GCF of 542 and 1000. Divide both 542 and 1000 by the GCF 2 to simplify the fraction.
= 271/500
0.542 = 271/500
0.542 in its simplest fraction form is 271/500.
So, what is the fraction of 0.542?
It is 542/1000 in fraction. To simplify 542/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 542 by 2 gives 271,
and dividing 1000 by 2 gives 500. Thus, 542/1000 simplifies to 271/500
Refer to the step by step work further to learn how to find what is 0.542 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.542
What to be found:
What is 0.542 as a fraction in simplest form?
step 2 Write 0.542 as a simple fraction.
0.542/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.542/1.
Since the decimal 0.542 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.542/1 to make numerator as a whole number.
(0.542 x 1000)/(1 x 1000) = 542/1000
step 4
542 thousandths is the fraction form of 0.542, however, it can be reduced further. To simplify 542/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 542 and 1000 cancel each other.
542/1000 = (2 x 271)/(2 x 500)
= 271/500
542/1000 = 271/500
Hence,
0.542 as a fraction is 271/500.
Converting decimals like 0.542 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.542 to fraction form. In this case, 0.542 can be recognized as 542 thousandths. So, the fraction form of 0.542 is 542/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 542/1000 in its simplest form.