What is 0.0625 as a fraction?
0.0625 as a fraction is 625/10000 and its simplest form is 1/16.
Learn how to find what is 0.0625 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 0.0625 in its equivalent fraction form. It is required to recognize the decimal point 0.0625 as 625 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0625 as a fraction and how it can be found easily.
Summary: 0.0625 in fraction form
0.0625 can be recognized as 625 ten-thousandths, which can be represented as 625/10000 in fraction form. The simplest form of 625/10000 is 1/16. Therefore, 0.0625 as a fraction is 1/16.
Write 0.0625 as a fraction in simplest form.
0.0625 = (?)
0.0625 = 0.0625/1
= (0.0625/1) x (10000/10000) //0.0625 can be recognized as 625 ten-thousandths.
= 625/10000 //625 ten-thousandths is equal to 625/10000 and it can be simplified further.
= (625/625)/(10000/625) //625 is the GCF of 625 and 10000. Divide both 625 and 10000 by the GCF 625 to simplify the fraction.
= 1/16
0.0625 = 1/16
0.0625 in its simplest fraction form is 1/16.
So, what is the fraction of 0.0625?
It is 625/10000 in fraction. To simplify 625/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 625 in this case. Dividing 625 by 625 gives 1,
and dividing 10000 by 625 gives 16. Thus, 625/10000 simplifies to 1/16
Refer to the step by step work further to learn how to find what is 0.0625 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.0625
What to be found:
What is 0.0625 as a fraction in simplest form?
step 2 Write 0.0625 as a simple fraction.
0.0625/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0625/1.
Since the decimal 0.0625 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0625/1 to make numerator as a whole number.
(0.0625 x 10000)/(1 x 10000) = 625/10000
step 4
625 ten-thousandths is the fraction form of 0.0625, however, it can be reduced further. To simplify 625/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 625 and 10000 cancel each other.
625/10000 = (625 x 1)/(625 x 16)
= 1/16
625/10000 = 1/16
Hence,
0.0625 as a fraction is 1/16.
Converting decimals like 0.0625 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0625 to fraction form. In this case, 0.0625 can be recognized as 625 ten-thousandths. So, the fraction form of 0.0625 is 625/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 625/10000 in its simplest form.