0.0425 as a Fraction in Simplest Form

Learn how to find what is 0.0425 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 0.0425 in its equivalent fraction form. It is required to recognize the decimal point 0.0425 as 425 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0425 as a fraction and how it can be found easily.

Summary: 0.0425 in fraction form
0.0425 can be recognized as 425 ten-thousandths, which can be represented as 425/10000 in fraction form. The simplest form of 425/10000 is 17/400. Therefore, 0.0425 as a fraction is 17/400.

Write 0.0425 as a fraction in simplest form.
0.0425 = (?)
0.0425 = 0.0425/1
= (0.0425/1) x (10000/10000)      //0.0425 can be recognized as 425 ten-thousandths.
= 425/10000      //425 ten-thousandths is equal to 425/10000 and it can be simplified further.
= (425/25)/(10000/25)       //25 is the GCF of 425 and 10000. Divide both 425 and 10000 by the GCF 25 to simplify the fraction.
= 17/400
0.0425 = 17/400
0.0425 in its simplest fraction form is 17/400.

So, what is the fraction of 0.0425?
It is 425/10000 in fraction. To simplify 425/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 25 in this case. Dividing 425 by 25 gives 17, and dividing 10000 by 25 gives 400. Thus, 425/10000 simplifies to 17/400

Refer to the step by step work further to learn how to find what is 0.0425 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.0425

What to be found:
What is 0.0425 as a fraction in simplest form?

step 2 Write 0.0425 as a simple fraction.
0.0425/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0425/1.
Since the decimal 0.0425 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0425/1 to make numerator as a whole number.
(0.0425 x 10000)/(1 x 10000) = 425/10000

step 4 425 ten-thousandths is the fraction form of 0.0425, however, it can be reduced further. To simplify 425/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 425 and 10000 cancel each other.
425/10000 = (25 x 17)/(25 x 400)
= 17/400
425/10000 = 17/400
Hence,
0.0425 as a fraction is 17/400.

Converting decimals like 0.0425 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0425 to fraction form. In this case, 0.0425 can be recognized as 425 ten-thousandths. So, the fraction form of 0.0425 is 425/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 425/10000 in its simplest form.