0.0245 as a Fraction in Simplest Form

Learn how to find what is 0.0245 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 0.0245 in its equivalent fraction form. It is required to recognize the decimal point 0.0245 as 245 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0245 as a fraction and how it can be found easily.

Summary: 0.0245 in fraction form
0.0245 can be recognized as 245 ten-thousandths, which can be represented as 245/10000 in fraction form. The simplest form of 245/10000 is 49/2000. Therefore, 0.0245 as a fraction is 49/2000.

Write 0.0245 as a fraction in simplest form.
0.0245 = (?)
0.0245 = 0.0245/1
= (0.0245/1) x (10000/10000)      //0.0245 can be recognized as 245 ten-thousandths.
= 245/10000      //245 ten-thousandths is equal to 245/10000 and it can be simplified further.
= (245/5)/(10000/5)       //5 is the GCF of 245 and 10000. Divide both 245 and 10000 by the GCF 5 to simplify the fraction.
= 49/2000
0.0245 = 49/2000
0.0245 in its simplest fraction form is 49/2000.

So, what is the fraction of 0.0245?
It is 245/10000 in fraction. To simplify 245/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 5 in this case. Dividing 245 by 5 gives 49, and dividing 10000 by 5 gives 2000. Thus, 245/10000 simplifies to 49/2000

Refer to the step by step work further to learn how to find what is 0.0245 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.0245

What to be found:
What is 0.0245 as a fraction in simplest form?

step 2 Write 0.0245 as a simple fraction.
0.0245/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0245/1.
Since the decimal 0.0245 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0245/1 to make numerator as a whole number.
(0.0245 x 10000)/(1 x 10000) = 245/10000

step 4 245 ten-thousandths is the fraction form of 0.0245, however, it can be reduced further. To simplify 245/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 245 and 10000 cancel each other.
245/10000 = (5 x 49)/(5 x 2000)
= 49/2000
245/10000 = 49/2000
Hence,
0.0245 as a fraction is 49/2000.

Converting decimals like 0.0245 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0245 to fraction form. In this case, 0.0245 can be recognized as 245 ten-thousandths. So, the fraction form of 0.0245 is 245/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 245/10000 in its simplest form.