What is 0.014 as a fraction?
0.014 as a fraction is 14/1000 and its simplest form is 7/500.
Learn how to find what is 0.014 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 0.014 in its equivalent fraction form. It is required to recognize the decimal point 0.014 as 14 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.014 as a fraction and how it can be found easily.
Summary: 0.014 in fraction form
0.014 can be recognized as 14 thousandths, which can be represented as 14/1000 in fraction form. The simplest form of 14/1000 is 7/500. Therefore, 0.014 as a fraction is 7/500.
Write 0.014 as a fraction in simplest form.
0.014 = (?)
0.014 = 0.014/1
= (0.014/1) x (1000/1000) //0.014 can be recognized as 14 thousandths.
= 14/1000 //14 thousandths is equal to 14/1000 and it can be simplified further.
= (14/2)/(1000/2) //2 is the GCF of 14 and 1000. Divide both 14 and 1000 by the GCF 2 to simplify the fraction.
= 7/500
0.014 = 7/500
0.014 in its simplest fraction form is 7/500.
So, what is the fraction of 0.014?
It is 14/1000 in fraction. To simplify 14/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 14 by 2 gives 7,
and dividing 1000 by 2 gives 500. Thus, 14/1000 simplifies to 7/500
Refer to the step by step work further to learn how to find what is 0.014 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.014
What to be found:
What is 0.014 as a fraction in simplest form?
step 2 Write 0.014 as a simple fraction.
0.014/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.014/1.
Since the decimal 0.014 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.014/1 to make numerator as a whole number.
(0.014 x 1000)/(1 x 1000) = 14/1000
step 4
14 thousandths is the fraction form of 0.014, however, it can be reduced further. To simplify 14/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 14 and 1000 cancel each other.
14/1000 = (2 x 7)/(2 x 500)
= 7/500
14/1000 = 7/500
Hence,
0.014 as a fraction is 7/500.
Converting decimals like 0.014 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.014 to fraction form. In this case, 0.014 can be recognized as 14 thousandths. So, the fraction form of 0.014 is 14/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 14/1000 in its simplest form.