What is 8.875 as a fraction?
8.875 as a fraction is 8875/1000 and its simplest form is 71/8.
Learn how to find what is 8.875 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 8.875 in its equivalent fraction form. It is required to recognize the decimal point 8.875 as 8875 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 8.875 as a fraction and how it can be found easily.
Summary: 8.875 in fraction form
8.875 can be recognized as 8875 thousandths, which can be represented as 8875/1000 in fraction form. The simplest form of 8875/1000 is 71/8. Therefore, 8.875 as a fraction is 71/8.
Write 8.875 as a fraction in simplest form.
8.875 = (?)
8.875 = 8.875/1
= (8.875/1) x (1000/1000) //8.875 can be recognized as 8875 thousandths.
= 8875/1000 //8875 thousandths is equal to 8875/1000 and it can be simplified further.
= (8875/125)/(1000/125) //125 is the GCF of 8875 and 1000. Divide both 8875 and 1000 by the GCF 125 to simplify the fraction.
= 71/8
8.875 = 71/8
8.875 in its simplest fraction form is 71/8.
So, what is the fraction of 8.875?
It is 8875/1000 in fraction. To simplify 8875/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 125 in this case. Dividing 8875 by 125 gives 71,
and dividing 1000 by 125 gives 8. Thus, 8875/1000 simplifies to 71/8
Refer to the step by step work further to learn how to find what is 8.875 as a fraction in simple form.
step 1
Input values:
The decimal number = 8.875
What to be found:
What is 8.875 as a fraction in simplest form?
step 2 Write 8.875 as a simple fraction.
8.875/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 8.875/1.
Since the decimal 8.875 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 8.875/1 to make numerator as a whole number.
(8.875 x 1000)/(1 x 1000) = 8875/1000
step 4
8875 thousandths is the fraction form of 8.875, however, it can be reduced further. To simplify 8875/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 8875 and 1000 cancel each other.
8875/1000 = (125 x 71)/(125 x 8)
= 71/8
8875/1000 = 71/8
Hence,
8.875 as a fraction is 71/8.
Converting decimals like 8.875 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 8.875 to fraction form. In this case, 8.875 can be recognized as 8875 thousandths. So, the fraction form of 8.875 is 8875/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 8875/1000 in its simplest form.