What is 8.125 as a fraction?
8.125 as a fraction is 8125/1000 and its simplest form is 65/8.
Learn how to find what is 8.125 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 8.125 in its equivalent fraction form. It is required to recognize the decimal point 8.125 as 8125 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 8.125 as a fraction and how it can be found easily.
Summary: 8.125 in fraction form
8.125 can be recognized as 8125 thousandths, which can be represented as 8125/1000 in fraction form. The simplest form of 8125/1000 is 65/8. Therefore, 8.125 as a fraction is 65/8.
Write 8.125 as a fraction in simplest form.
8.125 = (?)
8.125 = 8.125/1
= (8.125/1) x (1000/1000) //8.125 can be recognized as 8125 thousandths.
= 8125/1000 //8125 thousandths is equal to 8125/1000 and it can be simplified further.
= (8125/125)/(1000/125) //125 is the GCF of 8125 and 1000. Divide both 8125 and 1000 by the GCF 125 to simplify the fraction.
= 65/8
8.125 = 65/8
8.125 in its simplest fraction form is 65/8.
So, what is the fraction of 8.125?
It is 8125/1000 in fraction. To simplify 8125/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 125 in this case. Dividing 8125 by 125 gives 65,
and dividing 1000 by 125 gives 8. Thus, 8125/1000 simplifies to 65/8
Refer to the step by step work further to learn how to find what is 8.125 as a fraction in simple form.
step 1
Input values:
The decimal number = 8.125
What to be found:
What is 8.125 as a fraction in simplest form?
step 2 Write 8.125 as a simple fraction.
8.125/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 8.125/1.
Since the decimal 8.125 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 8.125/1 to make numerator as a whole number.
(8.125 x 1000)/(1 x 1000) = 8125/1000
step 4
8125 thousandths is the fraction form of 8.125, however, it can be reduced further. To simplify 8125/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 8125 and 1000 cancel each other.
8125/1000 = (125 x 65)/(125 x 8)
= 65/8
8125/1000 = 65/8
Hence,
8.125 as a fraction is 65/8.
Converting decimals like 8.125 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 8.125 to fraction form. In this case, 8.125 can be recognized as 8125 thousandths. So, the fraction form of 8.125 is 8125/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 8125/1000 in its simplest form.