What is 0.136 as a fraction?
0.136 as a fraction is 136/1000 and its simplest form is 17/125.
Learn how to find what is 0.136 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 0.136 in its equivalent fraction form. It is required to recognize the decimal point 0.136 as 136 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.136 as a fraction and how it can be found easily.
Summary: 0.136 in fraction form
0.136 can be recognized as 136 thousandths, which can be represented as 136/1000 in fraction form. The simplest form of 136/1000 is 17/125. Therefore, 0.136 as a fraction is 17/125.
Write 0.136 as a fraction in simplest form.
0.136 = (?)
0.136 = 0.136/1
= (0.136/1) x (1000/1000) //0.136 can be recognized as 136 thousandths.
= 136/1000 //136 thousandths is equal to 136/1000 and it can be simplified further.
= (136/8)/(1000/8) //8 is the GCF of 136 and 1000. Divide both 136 and 1000 by the GCF 8 to simplify the fraction.
= 17/125
0.136 = 17/125
0.136 in its simplest fraction form is 17/125.
So, what is the fraction of 0.136?
It is 136/1000 in fraction. To simplify 136/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 136 by 8 gives 17,
and dividing 1000 by 8 gives 125. Thus, 136/1000 simplifies to 17/125
Refer to the step by step work further to learn how to find what is 0.136 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.136
What to be found:
What is 0.136 as a fraction in simplest form?
step 2 Write 0.136 as a simple fraction.
0.136/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.136/1.
Since the decimal 0.136 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.136/1 to make numerator as a whole number.
(0.136 x 1000)/(1 x 1000) = 136/1000
step 4
136 thousandths is the fraction form of 0.136, however, it can be reduced further. To simplify 136/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 136 and 1000 cancel each other.
136/1000 = (8 x 17)/(8 x 125)
= 17/125
136/1000 = 17/125
Hence,
0.136 as a fraction is 17/125.
Converting decimals like 0.136 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.136 to fraction form. In this case, 0.136 can be recognized as 136 thousandths. So, the fraction form of 0.136 is 136/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 136/1000 in its simplest form.