What is 0.0105 as a fraction?
0.0105 as a fraction is 105/10000 and its simplest form is 21/2000.
Learn how to find what is 0.0105 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 0.0105 in its equivalent fraction form. It is required to recognize the decimal point 0.0105 as 105 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0105 as a fraction and how it can be found easily.
Summary: 0.0105 in fraction form
0.0105 can be recognized as 105 ten-thousandths, which can be represented as 105/10000 in fraction form. The simplest form of 105/10000 is 21/2000. Therefore, 0.0105 as a fraction is 21/2000.
Write 0.0105 as a fraction in simplest form.
0.0105 = (?)
0.0105 = 0.0105/1
= (0.0105/1) x (10000/10000) //0.0105 can be recognized as 105 ten-thousandths.
= 105/10000 //105 ten-thousandths is equal to 105/10000 and it can be simplified further.
= (105/5)/(10000/5) //5 is the GCF of 105 and 10000. Divide both 105 and 10000 by the GCF 5 to simplify the fraction.
= 21/2000
0.0105 = 21/2000
0.0105 in its simplest fraction form is 21/2000.
So, what is the fraction of 0.0105?
It is 105/10000 in fraction. To simplify 105/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 105 by 5 gives 21,
and dividing 10000 by 5 gives 2000. Thus, 105/10000 simplifies to 21/2000
Refer to the step by step work further to learn how to find what is 0.0105 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.0105
What to be found:
What is 0.0105 as a fraction in simplest form?
step 2 Write 0.0105 as a simple fraction.
0.0105/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0105/1.
Since the decimal 0.0105 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0105/1 to make numerator as a whole number.
(0.0105 x 10000)/(1 x 10000) = 105/10000
step 4
105 ten-thousandths is the fraction form of 0.0105, however, it can be reduced further. To simplify 105/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 105 and 10000 cancel each other.
105/10000 = (5 x 21)/(5 x 2000)
= 21/2000
105/10000 = 21/2000
Hence,
0.0105 as a fraction is 21/2000.
Converting decimals like 0.0105 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0105 to fraction form. In this case, 0.0105 can be recognized as 105 ten-thousandths. So, the fraction form of 0.0105 is 105/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 105/10000 in its simplest form.