What is 0.274 as a fraction?
0.274 as a fraction is 274/1000 and its simplest form is 137/500.
Learn how to find what is 0.274 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 0.274 in its equivalent fraction form. It is required to recognize the decimal point 0.274 as 274 thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.274 as a fraction and how it can be found easily.
Summary: 0.274 in fraction form
0.274 can be recognized as 274 thousandths, which can be represented as 274/1000 in fraction form. The simplest form of 274/1000 is 137/500. Therefore, 0.274 as a fraction is 137/500.
Write 0.274 as a fraction in simplest form.
0.274 = (?)
0.274 = 0.274/1
= (0.274/1) x (1000/1000) //0.274 can be recognized as 274 thousandths.
= 274/1000 //274 thousandths is equal to 274/1000 and it can be simplified further.
= (274/2)/(1000/2) //2 is the GCF of 274 and 1000. Divide both 274 and 1000 by the GCF 2 to simplify the fraction.
= 137/500
0.274 = 137/500
0.274 in its simplest fraction form is 137/500.
So, what is the fraction of 0.274?
It is 274/1000 in fraction. To simplify 274/1000, both the numerator and denominator can be divided by their greatest common divisor, which is 2 in this case. Dividing 274 by 2 gives 137,
and dividing 1000 by 2 gives 500. Thus, 274/1000 simplifies to 137/500
Refer to the step by step work further to learn how to find what is 0.274 as a fraction in simple form.
step 1
Input values:
The decimal number = 0.274
What to be found:
What is 0.274 as a fraction in simplest form?
step 2 Write 0.274 as a simple fraction.
0.274/1
step 3
Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.274/1.
Since the decimal 0.274 has 3 digits after the decimal point, multiply 1000 with both numerator and denominator of 0.274/1 to make numerator as a whole number.
(0.274 x 1000)/(1 x 1000) = 274/1000
step 4
274 thousandths is the fraction form of 0.274, however, it can be reduced further. To simplify 274/1000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 274 and 1000 cancel each other.
274/1000 = (2 x 137)/(2 x 500)
= 137/500
274/1000 = 137/500
Hence,
0.274 as a fraction is 137/500.
Converting decimals like 0.274 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.274 to fraction form. In this case, 0.274 can be recognized as 274 thousandths. So, the fraction form of 0.274 is 274/1000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 274/1000 in its simplest form.