What is 0.146 as a fraction?
0.146 as a fraction is 146/1000 and its simplest form is 73/500.
Learn how to find what is 0.146 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 0.146 in its equivalent fraction form. It is required to recognize the decimal point 0.146 as 146 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.146 as a fraction and how it can be found easily.
Summary: 0.146 in fraction form
0.146 can be recognized as 146 thousandths, which can be represented as 146/1000 in fraction form. The simplest form of 146/1000 is 73/500. Therefore, 0.146 as a fraction is 73/500.
Write 0.146 as a fraction in simplest form.
0.146 = (?)
0.146 = 0.146/1
= (0.146/1) x (1000/1000) //0.146 can be recognized as 146 thousandths.
= 146/1000 //146 thousandths is equal to 146/1000 and it can be simplified further.
= (146/2)/(1000/2) //2 is the GCF of 146 and 1000. Divide both 146 and 1000 by the GCF 2 to simplify the fraction.
= 73/500
0.146 = 73/500
0.146 in its simplest fraction form is 73/500.
So, what is the fraction of 0.146?
It is 146/1000 in fraction. To simplify 146/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 146 by 2 gives 73,
and dividing 1000 by 2 gives 500. Thus, 146/1000 simplifies to 73/500
Refer to the step by step work further to learn how to find what is 0.146 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.146
What to be found:
What is 0.146 as a fraction in simplest form?
step 2 Write 0.146 as a simple fraction.
0.146/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.146/1.
Since the decimal 0.146 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.146/1 to make numerator as a whole number.
(0.146 x 1000)/(1 x 1000) = 146/1000
step 4
146 thousandths is the fraction form of 0.146, however, it can be reduced further. To simplify 146/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 146 and 1000 cancel each other.
146/1000 = (2 x 73)/(2 x 500)
= 73/500
146/1000 = 73/500
Hence,
0.146 as a fraction is 73/500.
Converting decimals like 0.146 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.146 to fraction form. In this case, 0.146 can be recognized as 146 thousandths. So, the fraction form of 0.146 is 146/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 146/1000 in its simplest form.