What is 0.118 as a fraction?
0.118 as a fraction is 118/1000 and its simplest form is 59/500.
Learn how to find what is 0.118 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 0.118 in its equivalent fraction form. It is required to recognize the decimal point 0.118 as 118 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.118 as a fraction and how it can be found easily.
Summary: 0.118 in fraction form
0.118 can be recognized as 118 thousandths, which can be represented as 118/1000 in fraction form. The simplest form of 118/1000 is 59/500. Therefore, 0.118 as a fraction is 59/500.
Write 0.118 as a fraction in simplest form.
0.118 = (?)
0.118 = 0.118/1
= (0.118/1) x (1000/1000) //0.118 can be recognized as 118 thousandths.
= 118/1000 //118 thousandths is equal to 118/1000 and it can be simplified further.
= (118/2)/(1000/2) //2 is the GCF of 118 and 1000. Divide both 118 and 1000 by the GCF 2 to simplify the fraction.
= 59/500
0.118 = 59/500
0.118 in its simplest fraction form is 59/500.
So, what is the fraction of 0.118?
It is 118/1000 in fraction. To simplify 118/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 118 by 2 gives 59,
and dividing 1000 by 2 gives 500. Thus, 118/1000 simplifies to 59/500
Refer to the step by step work further to learn how to find what is 0.118 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.118
What to be found:
What is 0.118 as a fraction in simplest form?
step 2 Write 0.118 as a simple fraction.
0.118/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.118/1.
Since the decimal 0.118 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.118/1 to make numerator as a whole number.
(0.118 x 1000)/(1 x 1000) = 118/1000
step 4
118 thousandths is the fraction form of 0.118, however, it can be reduced further. To simplify 118/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 118 and 1000 cancel each other.
118/1000 = (2 x 59)/(2 x 500)
= 59/500
118/1000 = 59/500
Hence,
0.118 as a fraction is 59/500.
Converting decimals like 0.118 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.118 to fraction form. In this case, 0.118 can be recognized as 118 thousandths. So, the fraction form of 0.118 is 118/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 118/1000 in its simplest form.