What is 0.284 as a fraction?
0.284 as a fraction is 284/1000 and its simplest form is 71/250.
Learn how to find what is 0.284 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 0.284 in its equivalent fraction form. It is required to recognize the decimal point 0.284 as 284 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.284 as a fraction and how it can be found easily.
Summary: 0.284 in fraction form
0.284 can be recognized as 284 thousandths, which can be represented as 284/1000 in fraction form. The simplest form of 284/1000 is 71/250. Therefore, 0.284 as a fraction is 71/250.
Write 0.284 as a fraction in simplest form.
0.284 = (?)
0.284 = 0.284/1
= (0.284/1) x (1000/1000) //0.284 can be recognized as 284 thousandths.
= 284/1000 //284 thousandths is equal to 284/1000 and it can be simplified further.
= (284/4)/(1000/4) //4 is the GCF of 284 and 1000. Divide both 284 and 1000 by the GCF 4 to simplify the fraction.
= 71/250
0.284 = 71/250
0.284 in its simplest fraction form is 71/250.
So, what is the fraction of 0.284?
It is 284/1000 in fraction. To simplify 284/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 284 by 4 gives 71,
and dividing 1000 by 4 gives 250. Thus, 284/1000 simplifies to 71/250
Refer to the step by step work further to learn how to find what is 0.284 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.284
What to be found:
What is 0.284 as a fraction in simplest form?
step 2 Write 0.284 as a simple fraction.
0.284/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.284/1.
Since the decimal 0.284 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.284/1 to make numerator as a whole number.
(0.284 x 1000)/(1 x 1000) = 284/1000
step 4
284 thousandths is the fraction form of 0.284, however, it can be reduced further. To simplify 284/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 284 and 1000 cancel each other.
284/1000 = (4 x 71)/(4 x 250)
= 71/250
284/1000 = 71/250
Hence,
0.284 as a fraction is 71/250.
Converting decimals like 0.284 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.284 to fraction form. In this case, 0.284 can be recognized as 284 thousandths. So, the fraction form of 0.284 is 284/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 284/1000 in its simplest form.