0.0135 as a Fraction in Simplest Form

Learn how to find what is 0.0135 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 0.0135 in its equivalent fraction form. It is required to recognize the decimal point 0.0135 as 135 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0135 as a fraction and how it can be found easily.

Summary: 0.0135 in fraction form
0.0135 can be recognized as 135 ten-thousandths, which can be represented as 135/10000 in fraction form. The simplest form of 135/10000 is 27/2000. Therefore, 0.0135 as a fraction is 27/2000.

Write 0.0135 as a fraction in simplest form.
0.0135 = (?)
0.0135 = 0.0135/1
= (0.0135/1) x (10000/10000)      //0.0135 can be recognized as 135 ten-thousandths.
= 135/10000      //135 ten-thousandths is equal to 135/10000 and it can be simplified further.
= (135/5)/(10000/5)       //5 is the GCF of 135 and 10000. Divide both 135 and 10000 by the GCF 5 to simplify the fraction.
= 27/2000
0.0135 = 27/2000
0.0135 in its simplest fraction form is 27/2000.

So, what is the fraction of 0.0135?
It is 135/10000 in fraction. To simplify 135/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 135 by 5 gives 27, and dividing 10000 by 5 gives 2000. Thus, 135/10000 simplifies to 27/2000

Refer to the step by step work further to learn how to find what is 0.0135 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.0135

What to be found:
What is 0.0135 as a fraction in simplest form?

step 2 Write 0.0135 as a simple fraction.
0.0135/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0135/1.
Since the decimal 0.0135 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0135/1 to make numerator as a whole number.
(0.0135 x 10000)/(1 x 10000) = 135/10000

step 4 135 ten-thousandths is the fraction form of 0.0135, however, it can be reduced further. To simplify 135/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 135 and 10000 cancel each other.
135/10000 = (5 x 27)/(5 x 2000)
= 27/2000
135/10000 = 27/2000
Hence,
0.0135 as a fraction is 27/2000.

Converting decimals like 0.0135 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0135 to fraction form. In this case, 0.0135 can be recognized as 135 ten-thousandths. So, the fraction form of 0.0135 is 135/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 135/10000 in its simplest form.