What is 6.875 as a fraction?
6.875 as a fraction is 6875/1000 and its simplest form is 55/8.
Learn how to find what is 6.875 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 6.875 in its equivalent fraction form. It is required to recognize the decimal point 6.875 as 6875 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 6.875 as a fraction and how it can be found easily.
Summary: 6.875 in fraction form
6.875 can be recognized as 6875 thousandths, which can be represented as 6875/1000 in fraction form. The simplest form of 6875/1000 is 55/8. Therefore, 6.875 as a fraction is 55/8.
Write 6.875 as a fraction in simplest form.
6.875 = (?)
6.875 = 6.875/1
= (6.875/1) x (1000/1000) //6.875 can be recognized as 6875 thousandths.
= 6875/1000 //6875 thousandths is equal to 6875/1000 and it can be simplified further.
= (6875/125)/(1000/125) //125 is the GCF of 6875 and 1000. Divide both 6875 and 1000 by the GCF 125 to simplify the fraction.
= 55/8
6.875 = 55/8
6.875 in its simplest fraction form is 55/8.
So, what is the fraction of 6.875?
It is 6875/1000 in fraction. To simplify 6875/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 125 in this case. Dividing 6875 by 125 gives 55,
and dividing 1000 by 125 gives 8. Thus, 6875/1000 simplifies to 55/8
Refer to the step by step work further to learn how to find what is 6.875 as a fraction in simple form.
step 1
Input values:
The decimal number = 6.875
What to be found:
What is 6.875 as a fraction in simplest form?
step 2 Write 6.875 as a simple fraction.
6.875/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 6.875/1.
Since the decimal 6.875 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 6.875/1 to make numerator as a whole number.
(6.875 x 1000)/(1 x 1000) = 6875/1000
step 4
6875 thousandths is the fraction form of 6.875, however, it can be reduced further. To simplify 6875/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 6875 and 1000 cancel each other.
6875/1000 = (125 x 55)/(125 x 8)
= 55/8
6875/1000 = 55/8
Hence,
6.875 as a fraction is 55/8.
Converting decimals like 6.875 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 6.875 to fraction form. In this case, 6.875 can be recognized as 6875 thousandths. So, the fraction form of 6.875 is 6875/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 6875/1000 in its simplest form.