What is 0.856 as a fraction?
0.856 as a fraction is 856/1000 and its simplest form is 107/125.
Learn how to find what is 0.856 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 0.856 in its equivalent fraction form. It is required to recognize the decimal point 0.856 as 856 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.856 as a fraction and how it can be found easily.
Summary: 0.856 in fraction form
0.856 can be recognized as 856 thousandths, which can be represented as 856/1000 in fraction form. The simplest form of 856/1000 is 107/125. Therefore, 0.856 as a fraction is 107/125.
Write 0.856 as a fraction in simplest form.
0.856 = (?)
0.856 = 0.856/1
= (0.856/1) x (1000/1000) //0.856 can be recognized as 856 thousandths.
= 856/1000 //856 thousandths is equal to 856/1000 and it can be simplified further.
= (856/8)/(1000/8) //8 is the GCF of 856 and 1000. Divide both 856 and 1000 by the GCF 8 to simplify the fraction.
= 107/125
0.856 = 107/125
0.856 in its simplest fraction form is 107/125.
So, what is the fraction of 0.856?
It is 856/1000 in fraction. To simplify 856/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 856 by 8 gives 107,
and dividing 1000 by 8 gives 125. Thus, 856/1000 simplifies to 107/125
Refer to the step by step work further to learn how to find what is 0.856 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.856
What to be found:
What is 0.856 as a fraction in simplest form?
step 2 Write 0.856 as a simple fraction.
0.856/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.856/1.
Since the decimal 0.856 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.856/1 to make numerator as a whole number.
(0.856 x 1000)/(1 x 1000) = 856/1000
step 4
856 thousandths is the fraction form of 0.856, however, it can be reduced further. To simplify 856/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 856 and 1000 cancel each other.
856/1000 = (8 x 107)/(8 x 125)
= 107/125
856/1000 = 107/125
Hence,
0.856 as a fraction is 107/125.
Converting decimals like 0.856 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.856 to fraction form. In this case, 0.856 can be recognized as 856 thousandths. So, the fraction form of 0.856 is 856/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 856/1000 in its simplest form.