0.0249 as a Fraction in Simplest Form

Learn how to find what is 0.0249 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 0.0249 in its equivalent fraction form. It is required to recognize the decimal point 0.0249 as 249 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0249 as a fraction and how it can be found easily.

Summary: 0.0249 in fraction form
0.0249 can be recognized as 249 ten-thousandths, which can be represented as 249/10000 in fraction form. The simplest form of 249/10000 is 31.125/1250. Therefore, 0.0249 as a fraction is 31.125/1250.

Write 0.0249 as a fraction in simplest form.
0.0249 = (?)
0.0249 = 0.0249/1
= (0.0249/1) x (10000/10000)      //0.0249 can be recognized as 249 ten-thousandths.
= 249/10000      //249 ten-thousandths is equal to 249/10000 and it can be simplified further.
= (249/8)/(10000/8)       //8 is the GCF of 249 and 10000. Divide both 249 and 10000 by the GCF 8 to simplify the fraction.
= 31.125/1250
0.0249 = 31.125/1250
0.0249 in its simplest fraction form is 31.125/1250.

So, what is the fraction of 0.0249?
It is 249/10000 in fraction. To simplify 249/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 8 in this case. Dividing 249 by 8 gives 31.125, and dividing 10000 by 8 gives 1250. Thus, 249/10000 simplifies to 31.125/1250

Refer to the step by step work further to learn how to find what is 0.0249 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.0249

What to be found:
What is 0.0249 as a fraction in simplest form?

step 2 Write 0.0249 as a simple fraction.
0.0249/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0249/1.
Since the decimal 0.0249 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0249/1 to make numerator as a whole number.
(0.0249 x 10000)/(1 x 10000) = 249/10000

step 4 249 ten-thousandths is the fraction form of 0.0249, however, it can be reduced further. To simplify 249/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 249 and 10000 cancel each other.
249/10000 = (8 x 31.125)/(8 x 1250)
= 31.125/1250
249/10000 = 31.125/1250
Hence,
0.0249 as a fraction is 31.125/1250.

Converting decimals like 0.0249 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0249 to fraction form. In this case, 0.0249 can be recognized as 249 ten-thousandths. So, the fraction form of 0.0249 is 249/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 249/10000 in its simplest form.