What is 0.895 as a fraction?
0.895 as a fraction is 895/1000 and its simplest form is 179/200.
Learn how to find what is 0.895 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 0.895 in its equivalent fraction form. It is required to recognize the decimal point 0.895 as 895 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.895 as a fraction and how it can be found easily.
Summary: 0.895 in fraction form
0.895 can be recognized as 895 thousandths, which can be represented as 895/1000 in fraction form. The simplest form of 895/1000 is 179/200. Therefore, 0.895 as a fraction is 179/200.
Write 0.895 as a fraction in simplest form.
0.895 = (?)
0.895 = 0.895/1
= (0.895/1) x (1000/1000) //0.895 can be recognized as 895 thousandths.
= 895/1000 //895 thousandths is equal to 895/1000 and it can be simplified further.
= (895/5)/(1000/5) //5 is the GCF of 895 and 1000. Divide both 895 and 1000 by the GCF 5 to simplify the fraction.
= 179/200
0.895 = 179/200
0.895 in its simplest fraction form is 179/200.
So, what is the fraction of 0.895?
It is 895/1000 in fraction. To simplify 895/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 895 by 5 gives 179,
and dividing 1000 by 5 gives 200. Thus, 895/1000 simplifies to 179/200
Refer to the step by step work further to learn how to find what is 0.895 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.895
What to be found:
What is 0.895 as a fraction in simplest form?
step 2 Write 0.895 as a simple fraction.
0.895/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.895/1.
Since the decimal 0.895 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.895/1 to make numerator as a whole number.
(0.895 x 1000)/(1 x 1000) = 895/1000
step 4
895 thousandths is the fraction form of 0.895, however, it can be reduced further. To simplify 895/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 895 and 1000 cancel each other.
895/1000 = (5 x 179)/(5 x 200)
= 179/200
895/1000 = 179/200
Hence,
0.895 as a fraction is 179/200.
Converting decimals like 0.895 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.895 to fraction form. In this case, 0.895 can be recognized as 895 thousandths. So, the fraction form of 0.895 is 895/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 895/1000 in its simplest form.