What is 0.846 as a fraction?
0.846 as a fraction is 846/1000 and its simplest form is 423/500.
Learn how to find what is 0.846 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 0.846 in its equivalent fraction form. It is required to recognize the decimal point 0.846 as 846 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.846 as a fraction and how it can be found easily.
Summary: 0.846 in fraction form
0.846 can be recognized as 846 thousandths, which can be represented as 846/1000 in fraction form. The simplest form of 846/1000 is 423/500. Therefore, 0.846 as a fraction is 423/500.
Write 0.846 as a fraction in simplest form.
0.846 = (?)
0.846 = 0.846/1
= (0.846/1) x (1000/1000) //0.846 can be recognized as 846 thousandths.
= 846/1000 //846 thousandths is equal to 846/1000 and it can be simplified further.
= (846/2)/(1000/2) //2 is the GCF of 846 and 1000. Divide both 846 and 1000 by the GCF 2 to simplify the fraction.
= 423/500
0.846 = 423/500
0.846 in its simplest fraction form is 423/500.
So, what is the fraction of 0.846?
It is 846/1000 in fraction. To simplify 846/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 846 by 2 gives 423,
and dividing 1000 by 2 gives 500. Thus, 846/1000 simplifies to 423/500
Refer to the step by step work further to learn how to find what is 0.846 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.846
What to be found:
What is 0.846 as a fraction in simplest form?
step 2 Write 0.846 as a simple fraction.
0.846/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.846/1.
Since the decimal 0.846 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.846/1 to make numerator as a whole number.
(0.846 x 1000)/(1 x 1000) = 846/1000
step 4
846 thousandths is the fraction form of 0.846, however, it can be reduced further. To simplify 846/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 846 and 1000 cancel each other.
846/1000 = (2 x 423)/(2 x 500)
= 423/500
846/1000 = 423/500
Hence,
0.846 as a fraction is 423/500.
Converting decimals like 0.846 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.846 to fraction form. In this case, 0.846 can be recognized as 846 thousandths. So, the fraction form of 0.846 is 846/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 846/1000 in its simplest form.