What is 0.96875 as a fraction?
0.96875 as a fraction is 96875/100000 and its simplest form is 31/32.
Learn how to find what is 0.96875 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 0.96875 in its equivalent fraction form. It is required to recognize the decimal point 0.96875 as 96875 hundred-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.96875 as a fraction and how it can be found easily.
Summary: 0.96875 in fraction form
0.96875 can be recognized as 96875 hundred-thousandths, which can be represented as 96875/100000 in fraction form. The simplest form of 96875/100000 is 31/32. Therefore, 0.96875 as a fraction is 31/32.
Write 0.96875 as a fraction in simplest form.
0.96875 = (?)
0.96875 = 0.96875/1
= (0.96875/1) x (100000/100000) //0.96875 can be recognized as 96875 hundred-thousandths.
= 96875/100000 //96875 hundred-thousandths is equal to 96875/100000 and it can be simplified further.
= (96875/3125)/(100000/3125) //3125 is the GCF of 96875 and 100000. Divide both 96875 and 100000 by the GCF 3125 to simplify the fraction.
= 31/32
0.96875 = 31/32
0.96875 in its simplest fraction form is 31/32.
So, what is the fraction of 0.96875?
It is 96875/100000 in fraction. To simplify 96875/100000, both the numerator and denominator can be divided by their greatest common divisor, which is 3125 in this case. Dividing 96875 by 3125 gives 31,
and dividing 100000 by 3125 gives 32. Thus, 96875/100000 simplifies to 31/32
Refer to the step by step work further to learn how to find what is 0.96875 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.96875
What to be found:
What is 0.96875 as a fraction in simplest form?
step 2 Write 0.96875 as a simple fraction.
0.96875/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.96875/1.
Since the decimal 0.96875 has 5 digits after the decimal point, multiply 100000 with both numerator and denominator of 0.96875/1 to make numerator as a whole number.
(0.96875 x 100000)/(1 x 100000) = 96875/100000
step 4
96875 hundred-thousandths is the fraction form of 0.96875, however, it can be reduced further. To simplify 96875/100000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 96875 and 100000 cancel each other.
96875/100000 = (3125 x 31)/(3125 x 32)
= 31/32
96875/100000 = 31/32
Hence,
0.96875 as a fraction is 31/32.
Converting decimals like 0.96875 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.96875 to fraction form. In this case, 0.96875 can be recognized as 96875 hundred-thousandths. So, the fraction form of 0.96875 is 96875/100000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 96875/100000 in its simplest form.