What is 0.878 as a fraction?
0.878 as a fraction is 878/1000 and its simplest form is 439/500.
Learn how to find what is 0.878 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 0.878 in its equivalent fraction form. It is required to recognize the decimal point 0.878 as 878 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.878 as a fraction and how it can be found easily.
Summary: 0.878 in fraction form
0.878 can be recognized as 878 thousandths, which can be represented as 878/1000 in fraction form. The simplest form of 878/1000 is 439/500. Therefore, 0.878 as a fraction is 439/500.
Write 0.878 as a fraction in simplest form.
0.878 = (?)
0.878 = 0.878/1
= (0.878/1) x (1000/1000) //0.878 can be recognized as 878 thousandths.
= 878/1000 //878 thousandths is equal to 878/1000 and it can be simplified further.
= (878/2)/(1000/2) //2 is the GCF of 878 and 1000. Divide both 878 and 1000 by the GCF 2 to simplify the fraction.
= 439/500
0.878 = 439/500
0.878 in its simplest fraction form is 439/500.
So, what is the fraction of 0.878?
It is 878/1000 in fraction. To simplify 878/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 878 by 2 gives 439,
and dividing 1000 by 2 gives 500. Thus, 878/1000 simplifies to 439/500
Refer to the step by step work further to learn how to find what is 0.878 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.878
What to be found:
What is 0.878 as a fraction in simplest form?
step 2 Write 0.878 as a simple fraction.
0.878/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.878/1.
Since the decimal 0.878 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.878/1 to make numerator as a whole number.
(0.878 x 1000)/(1 x 1000) = 878/1000
step 4
878 thousandths is the fraction form of 0.878, however, it can be reduced further. To simplify 878/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 878 and 1000 cancel each other.
878/1000 = (2 x 439)/(2 x 500)
= 439/500
878/1000 = 439/500
Hence,
0.878 as a fraction is 439/500.
Converting decimals like 0.878 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.878 to fraction form. In this case, 0.878 can be recognized as 878 thousandths. So, the fraction form of 0.878 is 878/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 878/1000 in its simplest form.