What is 0.144 as a fraction?
0.144 as a fraction is 144/1000 and its simplest form is 18/125.
Learn how to find what is 0.144 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 0.144 in its equivalent fraction form. It is required to recognize the decimal point 0.144 as 144 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.144 as a fraction and how it can be found easily.
Summary: 0.144 in fraction form
0.144 can be recognized as 144 thousandths, which can be represented as 144/1000 in fraction form. The simplest form of 144/1000 is 18/125. Therefore, 0.144 as a fraction is 18/125.
Write 0.144 as a fraction in simplest form.
0.144 = (?)
0.144 = 0.144/1
= (0.144/1) x (1000/1000) //0.144 can be recognized as 144 thousandths.
= 144/1000 //144 thousandths is equal to 144/1000 and it can be simplified further.
= (144/8)/(1000/8) //8 is the GCF of 144 and 1000. Divide both 144 and 1000 by the GCF 8 to simplify the fraction.
= 18/125
0.144 = 18/125
0.144 in its simplest fraction form is 18/125.
So, what is the fraction of 0.144?
It is 144/1000 in fraction. To simplify 144/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 144 by 8 gives 18,
and dividing 1000 by 8 gives 125. Thus, 144/1000 simplifies to 18/125
Refer to the step by step work further to learn how to find what is 0.144 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.144
What to be found:
What is 0.144 as a fraction in simplest form?
step 2 Write 0.144 as a simple fraction.
0.144/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.144/1.
Since the decimal 0.144 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.144/1 to make numerator as a whole number.
(0.144 x 1000)/(1 x 1000) = 144/1000
step 4
144 thousandths is the fraction form of 0.144, however, it can be reduced further. To simplify 144/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 144 and 1000 cancel each other.
144/1000 = (8 x 18)/(8 x 125)
= 18/125
144/1000 = 18/125
Hence,
0.144 as a fraction is 18/125.
Converting decimals like 0.144 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.144 to fraction form. In this case, 0.144 can be recognized as 144 thousandths. So, the fraction form of 0.144 is 144/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 144/1000 in its simplest form.