What is 0.028 as a fraction?
0.028 as a fraction is 28/1000 and its simplest form is 7/250.
Learn how to find what is 0.028 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 0.028 in its equivalent fraction form. It is required to recognize the decimal point 0.028 as 28 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.028 as a fraction and how it can be found easily.
Summary: 0.028 in fraction form
0.028 can be recognized as 28 thousandths, which can be represented as 28/1000 in fraction form. The simplest form of 28/1000 is 7/250. Therefore, 0.028 as a fraction is 7/250.
Write 0.028 as a fraction in simplest form.
0.028 = (?)
0.028 = 0.028/1
= (0.028/1) x (1000/1000) //0.028 can be recognized as 28 thousandths.
= 28/1000 //28 thousandths is equal to 28/1000 and it can be simplified further.
= (28/4)/(1000/4) //4 is the GCF of 28 and 1000. Divide both 28 and 1000 by the GCF 4 to simplify the fraction.
= 7/250
0.028 = 7/250
0.028 in its simplest fraction form is 7/250.
So, what is the fraction of 0.028?
It is 28/1000 in fraction. To simplify 28/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 28 by 4 gives 7,
and dividing 1000 by 4 gives 250. Thus, 28/1000 simplifies to 7/250
Refer to the step by step work further to learn how to find what is 0.028 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.028
What to be found:
What is 0.028 as a fraction in simplest form?
step 2 Write 0.028 as a simple fraction.
0.028/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.028/1.
Since the decimal 0.028 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.028/1 to make numerator as a whole number.
(0.028 x 1000)/(1 x 1000) = 28/1000
step 4
28 thousandths is the fraction form of 0.028, however, it can be reduced further. To simplify 28/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 28 and 1000 cancel each other.
28/1000 = (4 x 7)/(4 x 250)
= 7/250
28/1000 = 7/250
Hence,
0.028 as a fraction is 7/250.
Converting decimals like 0.028 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.028 to fraction form. In this case, 0.028 can be recognized as 28 thousandths. So, the fraction form of 0.028 is 28/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 28/1000 in its simplest form.