What is 0.138 as a fraction?
0.138 as a fraction is 138/1000 and its simplest form is 69/500.
Learn how to find what is 0.138 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 0.138 in its equivalent fraction form. It is required to recognize the decimal point 0.138 as 138 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.138 as a fraction and how it can be found easily.
Summary: 0.138 in fraction form
0.138 can be recognized as 138 thousandths, which can be represented as 138/1000 in fraction form. The simplest form of 138/1000 is 69/500. Therefore, 0.138 as a fraction is 69/500.
Write 0.138 as a fraction in simplest form.
0.138 = (?)
0.138 = 0.138/1
= (0.138/1) x (1000/1000) //0.138 can be recognized as 138 thousandths.
= 138/1000 //138 thousandths is equal to 138/1000 and it can be simplified further.
= (138/2)/(1000/2) //2 is the GCF of 138 and 1000. Divide both 138 and 1000 by the GCF 2 to simplify the fraction.
= 69/500
0.138 = 69/500
0.138 in its simplest fraction form is 69/500.
So, what is the fraction of 0.138?
It is 138/1000 in fraction. To simplify 138/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 138 by 2 gives 69,
and dividing 1000 by 2 gives 500. Thus, 138/1000 simplifies to 69/500
Refer to the step by step work further to learn how to find what is 0.138 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.138
What to be found:
What is 0.138 as a fraction in simplest form?
step 2 Write 0.138 as a simple fraction.
0.138/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.138/1.
Since the decimal 0.138 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.138/1 to make numerator as a whole number.
(0.138 x 1000)/(1 x 1000) = 138/1000
step 4
138 thousandths is the fraction form of 0.138, however, it can be reduced further. To simplify 138/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 138 and 1000 cancel each other.
138/1000 = (2 x 69)/(2 x 500)
= 69/500
138/1000 = 69/500
Hence,
0.138 as a fraction is 69/500.
Converting decimals like 0.138 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.138 to fraction form. In this case, 0.138 can be recognized as 138 thousandths. So, the fraction form of 0.138 is 138/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 138/1000 in its simplest form.