What is 0.524 as a fraction?
0.524 as a fraction is 524/1000 and its simplest form is 131/250.
Learn how to find what is 0.524 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 0.524 in its equivalent fraction form. It is required to recognize the decimal point 0.524 as 524 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.524 as a fraction and how it can be found easily.
Summary: 0.524 in fraction form
0.524 can be recognized as 524 thousandths, which can be represented as 524/1000 in fraction form. The simplest form of 524/1000 is 131/250. Therefore, 0.524 as a fraction is 131/250.
Write 0.524 as a fraction in simplest form.
0.524 = (?)
0.524 = 0.524/1
= (0.524/1) x (1000/1000) //0.524 can be recognized as 524 thousandths.
= 524/1000 //524 thousandths is equal to 524/1000 and it can be simplified further.
= (524/4)/(1000/4) //4 is the GCF of 524 and 1000. Divide both 524 and 1000 by the GCF 4 to simplify the fraction.
= 131/250
0.524 = 131/250
0.524 in its simplest fraction form is 131/250.
So, what is the fraction of 0.524?
It is 524/1000 in fraction. To simplify 524/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 524 by 4 gives 131,
and dividing 1000 by 4 gives 250. Thus, 524/1000 simplifies to 131/250
Refer to the step by step work further to learn how to find what is 0.524 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.524
What to be found:
What is 0.524 as a fraction in simplest form?
step 2 Write 0.524 as a simple fraction.
0.524/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.524/1.
Since the decimal 0.524 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.524/1 to make numerator as a whole number.
(0.524 x 1000)/(1 x 1000) = 524/1000
step 4
524 thousandths is the fraction form of 0.524, however, it can be reduced further. To simplify 524/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 524 and 1000 cancel each other.
524/1000 = (4 x 131)/(4 x 250)
= 131/250
524/1000 = 131/250
Hence,
0.524 as a fraction is 131/250.
Converting decimals like 0.524 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.524 to fraction form. In this case, 0.524 can be recognized as 524 thousandths. So, the fraction form of 0.524 is 524/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 524/1000 in its simplest form.