0.0275 as a Fraction in Simplest Form

Learn how to find what is 0.0275 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 0.0275 in its equivalent fraction form. It is required to recognize the decimal point 0.0275 as 275 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0275 as a fraction and how it can be found easily.

Summary: 0.0275 in fraction form
0.0275 can be recognized as 275 ten-thousandths, which can be represented as 275/10000 in fraction form. The simplest form of 275/10000 is 11/400. Therefore, 0.0275 as a fraction is 11/400.

Write 0.0275 as a fraction in simplest form.
0.0275 = (?)
0.0275 = 0.0275/1
= (0.0275/1) x (10000/10000)      //0.0275 can be recognized as 275 ten-thousandths.
= 275/10000      //275 ten-thousandths is equal to 275/10000 and it can be simplified further.
= (275/25)/(10000/25)       //25 is the GCF of 275 and 10000. Divide both 275 and 10000 by the GCF 25 to simplify the fraction.
= 11/400
0.0275 = 11/400
0.0275 in its simplest fraction form is 11/400.

So, what is the fraction of 0.0275?
It is 275/10000 in fraction. To simplify 275/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 25 in this case. Dividing 275 by 25 gives 11, and dividing 10000 by 25 gives 400. Thus, 275/10000 simplifies to 11/400

Refer to the step by step work further to learn how to find what is 0.0275 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.0275

What to be found:
What is 0.0275 as a fraction in simplest form?

step 2 Write 0.0275 as a simple fraction.
0.0275/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0275/1.
Since the decimal 0.0275 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0275/1 to make numerator as a whole number.
(0.0275 x 10000)/(1 x 10000) = 275/10000

step 4 275 ten-thousandths is the fraction form of 0.0275, however, it can be reduced further. To simplify 275/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 275 and 10000 cancel each other.
275/10000 = (25 x 11)/(25 x 400)
= 11/400
275/10000 = 11/400
Hence,
0.0275 as a fraction is 11/400.

Converting decimals like 0.0275 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0275 to fraction form. In this case, 0.0275 can be recognized as 275 ten-thousandths. So, the fraction form of 0.0275 is 275/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 275/10000 in its simplest form.