What is 0.896 as a fraction?
0.896 as a fraction is 896/1000 and its simplest form is 112/125.
Learn how to find what is 0.896 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 0.896 in its equivalent fraction form. It is required to recognize the decimal point 0.896 as 896 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.896 as a fraction and how it can be found easily.
Summary: 0.896 in fraction form
0.896 can be recognized as 896 thousandths, which can be represented as 896/1000 in fraction form. The simplest form of 896/1000 is 112/125. Therefore, 0.896 as a fraction is 112/125.
Write 0.896 as a fraction in simplest form.
0.896 = (?)
0.896 = 0.896/1
= (0.896/1) x (1000/1000) //0.896 can be recognized as 896 thousandths.
= 896/1000 //896 thousandths is equal to 896/1000 and it can be simplified further.
= (896/8)/(1000/8) //8 is the GCF of 896 and 1000. Divide both 896 and 1000 by the GCF 8 to simplify the fraction.
= 112/125
0.896 = 112/125
0.896 in its simplest fraction form is 112/125.
So, what is the fraction of 0.896?
It is 896/1000 in fraction. To simplify 896/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 896 by 8 gives 112,
and dividing 1000 by 8 gives 125. Thus, 896/1000 simplifies to 112/125
Refer to the step by step work further to learn how to find what is 0.896 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.896
What to be found:
What is 0.896 as a fraction in simplest form?
step 2 Write 0.896 as a simple fraction.
0.896/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.896/1.
Since the decimal 0.896 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.896/1 to make numerator as a whole number.
(0.896 x 1000)/(1 x 1000) = 896/1000
step 4
896 thousandths is the fraction form of 0.896, however, it can be reduced further. To simplify 896/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 896 and 1000 cancel each other.
896/1000 = (8 x 112)/(8 x 125)
= 112/125
896/1000 = 112/125
Hence,
0.896 as a fraction is 112/125.
Converting decimals like 0.896 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.896 to fraction form. In this case, 0.896 can be recognized as 896 thousandths. So, the fraction form of 0.896 is 896/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 896/1000 in its simplest form.