What is 0.872 as a fraction?
0.872 as a fraction is 872/1000 and its simplest form is 109/125.
Learn how to find what is 0.872 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 0.872 in its equivalent fraction form. It is required to recognize the decimal point 0.872 as 872 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.872 as a fraction and how it can be found easily.
Summary: 0.872 in fraction form
0.872 can be recognized as 872 thousandths, which can be represented as 872/1000 in fraction form. The simplest form of 872/1000 is 109/125. Therefore, 0.872 as a fraction is 109/125.
Write 0.872 as a fraction in simplest form.
0.872 = (?)
0.872 = 0.872/1
= (0.872/1) x (1000/1000) //0.872 can be recognized as 872 thousandths.
= 872/1000 //872 thousandths is equal to 872/1000 and it can be simplified further.
= (872/8)/(1000/8) //8 is the GCF of 872 and 1000. Divide both 872 and 1000 by the GCF 8 to simplify the fraction.
= 109/125
0.872 = 109/125
0.872 in its simplest fraction form is 109/125.
So, what is the fraction of 0.872?
It is 872/1000 in fraction. To simplify 872/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 872 by 8 gives 109,
and dividing 1000 by 8 gives 125. Thus, 872/1000 simplifies to 109/125
Refer to the step by step work further to learn how to find what is 0.872 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.872
What to be found:
What is 0.872 as a fraction in simplest form?
step 2 Write 0.872 as a simple fraction.
0.872/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.872/1.
Since the decimal 0.872 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.872/1 to make numerator as a whole number.
(0.872 x 1000)/(1 x 1000) = 872/1000
step 4
872 thousandths is the fraction form of 0.872, however, it can be reduced further. To simplify 872/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 872 and 1000 cancel each other.
872/1000 = (8 x 109)/(8 x 125)
= 109/125
872/1000 = 109/125
Hence,
0.872 as a fraction is 109/125.
Converting decimals like 0.872 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.872 to fraction form. In this case, 0.872 can be recognized as 872 thousandths. So, the fraction form of 0.872 is 872/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 872/1000 in its simplest form.