0.0102 as a Fraction in Simplest Form

Learn how to find what is 0.0102 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 0.0102 in its equivalent fraction form. It is required to recognize the decimal point 0.0102 as 102 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0102 as a fraction and how it can be found easily.

Summary: 0.0102 in fraction form
0.0102 can be recognized as 102 ten-thousandths, which can be represented as 102/10000 in fraction form. The simplest form of 102/10000 is 51/5000. Therefore, 0.0102 as a fraction is 51/5000.

Write 0.0102 as a fraction in simplest form.
0.0102 = (?)
0.0102 = 0.0102/1
= (0.0102/1) x (10000/10000)      //0.0102 can be recognized as 102 ten-thousandths.
= 102/10000      //102 ten-thousandths is equal to 102/10000 and it can be simplified further.
= (102/2)/(10000/2)       //2 is the GCF of 102 and 10000. Divide both 102 and 10000 by the GCF 2 to simplify the fraction.
= 51/5000
0.0102 = 51/5000
0.0102 in its simplest fraction form is 51/5000.

So, what is the fraction of 0.0102?
It is 102/10000 in fraction. To simplify 102/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 102 by 2 gives 51, and dividing 10000 by 2 gives 5000. Thus, 102/10000 simplifies to 51/5000

Refer to the step by step work further to learn how to find what is 0.0102 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.0102

What to be found:
What is 0.0102 as a fraction in simplest form?

step 2 Write 0.0102 as a simple fraction.
0.0102/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0102/1.
Since the decimal 0.0102 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0102/1 to make numerator as a whole number.
(0.0102 x 10000)/(1 x 10000) = 102/10000

step 4 102 ten-thousandths is the fraction form of 0.0102, however, it can be reduced further. To simplify 102/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 102 and 10000 cancel each other.
102/10000 = (2 x 51)/(2 x 5000)
= 51/5000
102/10000 = 51/5000
Hence,
0.0102 as a fraction is 51/5000.

Converting decimals like 0.0102 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0102 to fraction form. In this case, 0.0102 can be recognized as 102 ten-thousandths. So, the fraction form of 0.0102 is 102/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 102/10000 in its simplest form.