What is 0.858 as a fraction?
0.858 as a fraction is 858/1000 and its simplest form is 429/500.
Learn how to find what is 0.858 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 0.858 in its equivalent fraction form. It is required to recognize the decimal point 0.858 as 858 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.858 as a fraction and how it can be found easily.
Summary: 0.858 in fraction form
0.858 can be recognized as 858 thousandths, which can be represented as 858/1000 in fraction form. The simplest form of 858/1000 is 429/500. Therefore, 0.858 as a fraction is 429/500.
Write 0.858 as a fraction in simplest form.
0.858 = (?)
0.858 = 0.858/1
= (0.858/1) x (1000/1000) //0.858 can be recognized as 858 thousandths.
= 858/1000 //858 thousandths is equal to 858/1000 and it can be simplified further.
= (858/2)/(1000/2) //2 is the GCF of 858 and 1000. Divide both 858 and 1000 by the GCF 2 to simplify the fraction.
= 429/500
0.858 = 429/500
0.858 in its simplest fraction form is 429/500.
So, what is the fraction of 0.858?
It is 858/1000 in fraction. To simplify 858/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 858 by 2 gives 429,
and dividing 1000 by 2 gives 500. Thus, 858/1000 simplifies to 429/500
Refer to the step by step work further to learn how to find what is 0.858 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.858
What to be found:
What is 0.858 as a fraction in simplest form?
step 2 Write 0.858 as a simple fraction.
0.858/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.858/1.
Since the decimal 0.858 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.858/1 to make numerator as a whole number.
(0.858 x 1000)/(1 x 1000) = 858/1000
step 4
858 thousandths is the fraction form of 0.858, however, it can be reduced further. To simplify 858/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 858 and 1000 cancel each other.
858/1000 = (2 x 429)/(2 x 500)
= 429/500
858/1000 = 429/500
Hence,
0.858 as a fraction is 429/500.
Converting decimals like 0.858 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.858 to fraction form. In this case, 0.858 can be recognized as 858 thousandths. So, the fraction form of 0.858 is 858/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 858/1000 in its simplest form.