What is 0.852 as a fraction?
0.852 as a fraction is 852/1000 and its simplest form is 213/250.
Learn how to find what is 0.852 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 0.852 in its equivalent fraction form. It is required to recognize the decimal point 0.852 as 852 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.852 as a fraction and how it can be found easily.
Summary: 0.852 in fraction form
0.852 can be recognized as 852 thousandths, which can be represented as 852/1000 in fraction form. The simplest form of 852/1000 is 213/250. Therefore, 0.852 as a fraction is 213/250.
Write 0.852 as a fraction in simplest form.
0.852 = (?)
0.852 = 0.852/1
= (0.852/1) x (1000/1000) //0.852 can be recognized as 852 thousandths.
= 852/1000 //852 thousandths is equal to 852/1000 and it can be simplified further.
= (852/4)/(1000/4) //4 is the GCF of 852 and 1000. Divide both 852 and 1000 by the GCF 4 to simplify the fraction.
= 213/250
0.852 = 213/250
0.852 in its simplest fraction form is 213/250.
So, what is the fraction of 0.852?
It is 852/1000 in fraction. To simplify 852/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 852 by 4 gives 213,
and dividing 1000 by 4 gives 250. Thus, 852/1000 simplifies to 213/250
Refer to the step by step work further to learn how to find what is 0.852 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.852
What to be found:
What is 0.852 as a fraction in simplest form?
step 2 Write 0.852 as a simple fraction.
0.852/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.852/1.
Since the decimal 0.852 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.852/1 to make numerator as a whole number.
(0.852 x 1000)/(1 x 1000) = 852/1000
step 4
852 thousandths is the fraction form of 0.852, however, it can be reduced further. To simplify 852/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 852 and 1000 cancel each other.
852/1000 = (4 x 213)/(4 x 250)
= 213/250
852/1000 = 213/250
Hence,
0.852 as a fraction is 213/250.
Converting decimals like 0.852 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.852 to fraction form. In this case, 0.852 can be recognized as 852 thousandths. So, the fraction form of 0.852 is 852/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 852/1000 in its simplest form.