What is 0.842 as a fraction?
0.842 as a fraction is 842/1000 and its simplest form is 421/500.
Learn how to find what is 0.842 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 0.842 in its equivalent fraction form. It is required to recognize the decimal point 0.842 as 842 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.842 as a fraction and how it can be found easily.
Summary: 0.842 in fraction form
0.842 can be recognized as 842 thousandths, which can be represented as 842/1000 in fraction form. The simplest form of 842/1000 is 421/500. Therefore, 0.842 as a fraction is 421/500.
Write 0.842 as a fraction in simplest form.
0.842 = (?)
0.842 = 0.842/1
= (0.842/1) x (1000/1000) //0.842 can be recognized as 842 thousandths.
= 842/1000 //842 thousandths is equal to 842/1000 and it can be simplified further.
= (842/2)/(1000/2) //2 is the GCF of 842 and 1000. Divide both 842 and 1000 by the GCF 2 to simplify the fraction.
= 421/500
0.842 = 421/500
0.842 in its simplest fraction form is 421/500.
So, what is the fraction of 0.842?
It is 842/1000 in fraction. To simplify 842/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 842 by 2 gives 421,
and dividing 1000 by 2 gives 500. Thus, 842/1000 simplifies to 421/500
Refer to the step by step work further to learn how to find what is 0.842 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.842
What to be found:
What is 0.842 as a fraction in simplest form?
step 2 Write 0.842 as a simple fraction.
0.842/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.842/1.
Since the decimal 0.842 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.842/1 to make numerator as a whole number.
(0.842 x 1000)/(1 x 1000) = 842/1000
step 4
842 thousandths is the fraction form of 0.842, however, it can be reduced further. To simplify 842/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 842 and 1000 cancel each other.
842/1000 = (2 x 421)/(2 x 500)
= 421/500
842/1000 = 421/500
Hence,
0.842 as a fraction is 421/500.
Converting decimals like 0.842 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.842 to fraction form. In this case, 0.842 can be recognized as 842 thousandths. So, the fraction form of 0.842 is 842/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 842/1000 in its simplest form.