What is 0.115 as a fraction?
0.115 as a fraction is 115/1000 and its simplest form is 23/200.
Learn how to find what is 0.115 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 0.115 in its equivalent fraction form. It is required to recognize the decimal point 0.115 as 115 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.115 as a fraction and how it can be found easily.
Summary: 0.115 in fraction form
0.115 can be recognized as 115 thousandths, which can be represented as 115/1000 in fraction form. The simplest form of 115/1000 is 23/200. Therefore, 0.115 as a fraction is 23/200.
Write 0.115 as a fraction in simplest form.
0.115 = (?)
0.115 = 0.115/1
= (0.115/1) x (1000/1000) //0.115 can be recognized as 115 thousandths.
= 115/1000 //115 thousandths is equal to 115/1000 and it can be simplified further.
= (115/5)/(1000/5) //5 is the GCF of 115 and 1000. Divide both 115 and 1000 by the GCF 5 to simplify the fraction.
= 23/200
0.115 = 23/200
0.115 in its simplest fraction form is 23/200.
So, what is the fraction of 0.115?
It is 115/1000 in fraction. To simplify 115/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 115 by 5 gives 23,
and dividing 1000 by 5 gives 200. Thus, 115/1000 simplifies to 23/200
Refer to the step by step work further to learn how to find what is 0.115 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.115
What to be found:
What is 0.115 as a fraction in simplest form?
step 2 Write 0.115 as a simple fraction.
0.115/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.115/1.
Since the decimal 0.115 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.115/1 to make numerator as a whole number.
(0.115 x 1000)/(1 x 1000) = 115/1000
step 4
115 thousandths is the fraction form of 0.115, however, it can be reduced further. To simplify 115/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 115 and 1000 cancel each other.
115/1000 = (5 x 23)/(5 x 200)
= 23/200
115/1000 = 23/200
Hence,
0.115 as a fraction is 23/200.
Converting decimals like 0.115 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.115 to fraction form. In this case, 0.115 can be recognized as 115 thousandths. So, the fraction form of 0.115 is 115/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 115/1000 in its simplest form.