What is 0.135 as a fraction?
0.135 as a fraction is 135/1000 and its simplest form is 27/200.
Learn how to find what is 0.135 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 0.135 in its equivalent fraction form. It is required to recognize the decimal point 0.135 as 135 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.135 as a fraction and how it can be found easily.
Summary: 0.135 in fraction form
0.135 can be recognized as 135 thousandths, which can be represented as 135/1000 in fraction form. The simplest form of 135/1000 is 27/200. Therefore, 0.135 as a fraction is 27/200.
Write 0.135 as a fraction in simplest form.
0.135 = (?)
0.135 = 0.135/1
= (0.135/1) x (1000/1000) //0.135 can be recognized as 135 thousandths.
= 135/1000 //135 thousandths is equal to 135/1000 and it can be simplified further.
= (135/5)/(1000/5) //5 is the GCF of 135 and 1000. Divide both 135 and 1000 by the GCF 5 to simplify the fraction.
= 27/200
0.135 = 27/200
0.135 in its simplest fraction form is 27/200.
So, what is the fraction of 0.135?
It is 135/1000 in fraction. To simplify 135/1000, 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 1000 by 5 gives 200. Thus, 135/1000 simplifies to 27/200
Refer to the step by step work further to learn how to find what is 0.135 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.135
What to be found:
What is 0.135 as a fraction in simplest form?
step 2 Write 0.135 as a simple fraction.
0.135/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.135/1.
Since the decimal 0.135 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.135/1 to make numerator as a whole number.
(0.135 x 1000)/(1 x 1000) = 135/1000
step 4
135 thousandths is the fraction form of 0.135, however, it can be reduced further. To simplify 135/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 135 and 1000 cancel each other.
135/1000 = (5 x 27)/(5 x 200)
= 27/200
135/1000 = 27/200
Hence,
0.135 as a fraction is 27/200.
Converting decimals like 0.135 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.135 to fraction form. In this case, 0.135 can be recognized as 135 thousandths. So, the fraction form of 0.135 is 135/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 135/1000 in its simplest form.