What is 0.116 as a fraction?
0.116 as a fraction is 116/1000 and its simplest form is 29/250.
Learn how to find what is 0.116 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 0.116 in its equivalent fraction form. It is required to recognize the decimal point 0.116 as 116 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.116 as a fraction and how it can be found easily.
Summary: 0.116 in fraction form
0.116 can be recognized as 116 thousandths, which can be represented as 116/1000 in fraction form. The simplest form of 116/1000 is 29/250. Therefore, 0.116 as a fraction is 29/250.
Write 0.116 as a fraction in simplest form.
0.116 = (?)
0.116 = 0.116/1
= (0.116/1) x (1000/1000) //0.116 can be recognized as 116 thousandths.
= 116/1000 //116 thousandths is equal to 116/1000 and it can be simplified further.
= (116/4)/(1000/4) //4 is the GCF of 116 and 1000. Divide both 116 and 1000 by the GCF 4 to simplify the fraction.
= 29/250
0.116 = 29/250
0.116 in its simplest fraction form is 29/250.
So, what is the fraction of 0.116?
It is 116/1000 in fraction. To simplify 116/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 116 by 4 gives 29,
and dividing 1000 by 4 gives 250. Thus, 116/1000 simplifies to 29/250
Refer to the step by step work further to learn how to find what is 0.116 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.116
What to be found:
What is 0.116 as a fraction in simplest form?
step 2 Write 0.116 as a simple fraction.
0.116/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.116/1.
Since the decimal 0.116 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.116/1 to make numerator as a whole number.
(0.116 x 1000)/(1 x 1000) = 116/1000
step 4
116 thousandths is the fraction form of 0.116, however, it can be reduced further. To simplify 116/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 116 and 1000 cancel each other.
116/1000 = (4 x 29)/(4 x 250)
= 29/250
116/1000 = 29/250
Hence,
0.116 as a fraction is 29/250.
Converting decimals like 0.116 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.116 to fraction form. In this case, 0.116 can be recognized as 116 thousandths. So, the fraction form of 0.116 is 116/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 116/1000 in its simplest form.