What is 0.21875 as a fraction?
0.21875 as a fraction is 21875/100000 and its simplest form is 7/32.
Learn how to find what is 0.21875 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 0.21875 in its equivalent fraction form. It is required to recognize the decimal point 0.21875 as 21875 hundred-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.21875 as a fraction and how it can be found easily.
Summary: 0.21875 in fraction form
0.21875 can be recognized as 21875 hundred-thousandths, which can be represented as 21875/100000 in fraction form. The simplest form of 21875/100000 is 7/32. Therefore, 0.21875 as a fraction is 7/32.
Write 0.21875 as a fraction in simplest form.
0.21875 = (?)
0.21875 = 0.21875/1
= (0.21875/1) x (100000/100000) //0.21875 can be recognized as 21875 hundred-thousandths.
= 21875/100000 //21875 hundred-thousandths is equal to 21875/100000 and it can be simplified further.
= (21875/3125)/(100000/3125) //3125 is the GCF of 21875 and 100000. Divide both 21875 and 100000 by the GCF 3125 to simplify the fraction.
= 7/32
0.21875 = 7/32
0.21875 in its simplest fraction form is 7/32.
So, what is the fraction of 0.21875?
It is 21875/100000 in fraction. To simplify 21875/100000, both the numerator and denominator can be divided by their greatest common divisor, which is 3125 in this case. Dividing 21875 by 3125 gives 7,
and dividing 100000 by 3125 gives 32. Thus, 21875/100000 simplifies to 7/32
Refer to the step by step work further to learn how to find what is 0.21875 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.21875
What to be found:
What is 0.21875 as a fraction in simplest form?
step 2 Write 0.21875 as a simple fraction.
0.21875/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.21875/1.
Since the decimal 0.21875 has 5 digits after the decimal point, multiply 100000 with both numerator and denominator of 0.21875/1 to make numerator as a whole number.
(0.21875 x 100000)/(1 x 100000) = 21875/100000
step 4
21875 hundred-thousandths is the fraction form of 0.21875, however, it can be reduced further. To simplify 21875/100000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 21875 and 100000 cancel each other.
21875/100000 = (3125 x 7)/(3125 x 32)
= 7/32
21875/100000 = 7/32
Hence,
0.21875 as a fraction is 7/32.
Converting decimals like 0.21875 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.21875 to fraction form. In this case, 0.21875 can be recognized as 21875 hundred-thousandths. So, the fraction form of 0.21875 is 21875/100000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 21875/100000 in its simplest form.