What is 0.278 as a fraction?
0.278 as a fraction is 278/1000 and its simplest form is 139/500.
Learn how to find what is 0.278 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 0.278 in its equivalent fraction form. It is required to recognize the decimal point 0.278 as 278 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.278 as a fraction and how it can be found easily.
Summary: 0.278 in fraction form
0.278 can be recognized as 278 thousandths, which can be represented as 278/1000 in fraction form. The simplest form of 278/1000 is 139/500. Therefore, 0.278 as a fraction is 139/500.
Write 0.278 as a fraction in simplest form.
0.278 = (?)
0.278 = 0.278/1
= (0.278/1) x (1000/1000) //0.278 can be recognized as 278 thousandths.
= 278/1000 //278 thousandths is equal to 278/1000 and it can be simplified further.
= (278/2)/(1000/2) //2 is the GCF of 278 and 1000. Divide both 278 and 1000 by the GCF 2 to simplify the fraction.
= 139/500
0.278 = 139/500
0.278 in its simplest fraction form is 139/500.
So, what is the fraction of 0.278?
It is 278/1000 in fraction. To simplify 278/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 278 by 2 gives 139,
and dividing 1000 by 2 gives 500. Thus, 278/1000 simplifies to 139/500
Refer to the step by step work further to learn how to find what is 0.278 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.278
What to be found:
What is 0.278 as a fraction in simplest form?
step 2 Write 0.278 as a simple fraction.
0.278/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.278/1.
Since the decimal 0.278 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.278/1 to make numerator as a whole number.
(0.278 x 1000)/(1 x 1000) = 278/1000
step 4
278 thousandths is the fraction form of 0.278, however, it can be reduced further. To simplify 278/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 278 and 1000 cancel each other.
278/1000 = (2 x 139)/(2 x 500)
= 139/500
278/1000 = 139/500
Hence,
0.278 as a fraction is 139/500.
Converting decimals like 0.278 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.278 to fraction form. In this case, 0.278 can be recognized as 278 thousandths. So, the fraction form of 0.278 is 278/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 278/1000 in its simplest form.