What is 0.6875 as a fraction?
0.6875 as a fraction is 6875/10000 and its simplest form is 11/16.
Learn how to find what is 0.6875 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 0.6875 in its equivalent fraction form. It is required to recognize the decimal point 0.6875 as 6875 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.6875 as a fraction and how it can be found easily.
Summary: 0.6875 in fraction form
0.6875 can be recognized as 6875 ten-thousandths, which can be represented as 6875/10000 in fraction form. The simplest form of 6875/10000 is 11/16. Therefore, 0.6875 as a fraction is 11/16.
Write 0.6875 as a fraction in simplest form.
0.6875 = (?)
0.6875 = 0.6875/1
= (0.6875/1) x (10000/10000) //0.6875 can be recognized as 6875 ten-thousandths.
= 6875/10000 //6875 ten-thousandths is equal to 6875/10000 and it can be simplified further.
= (6875/625)/(10000/625) //625 is the GCF of 6875 and 10000. Divide both 6875 and 10000 by the GCF 625 to simplify the fraction.
= 11/16
0.6875 = 11/16
0.6875 in its simplest fraction form is 11/16.
So, what is the fraction of 0.6875?
It is 6875/10000 in fraction. To simplify 6875/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 625 in this case. Dividing 6875 by 625 gives 11,
and dividing 10000 by 625 gives 16. Thus, 6875/10000 simplifies to 11/16
Refer to the step by step work further to learn how to find what is 0.6875 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.6875
What to be found:
What is 0.6875 as a fraction in simplest form?
step 2 Write 0.6875 as a simple fraction.
0.6875/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.6875/1.
Since the decimal 0.6875 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.6875/1 to make numerator as a whole number.
(0.6875 x 10000)/(1 x 10000) = 6875/10000
step 4
6875 ten-thousandths is the fraction form of 0.6875, however, it can be reduced further. To simplify 6875/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 6875 and 10000 cancel each other.
6875/10000 = (625 x 11)/(625 x 16)
= 11/16
6875/10000 = 11/16
Hence,
0.6875 as a fraction is 11/16.
Converting decimals like 0.6875 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.6875 to fraction form. In this case, 0.6875 can be recognized as 6875 ten-thousandths. So, the fraction form of 0.6875 is 6875/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 6875/10000 in its simplest form.