0.0508 as a Fraction in Simplest Form

Learn how to find what is 0.0508 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 0.0508 in its equivalent fraction form. It is required to recognize the decimal point 0.0508 as 508 ten-thousandths to get started with this decimal to fraction conversion. Continue reading to learn what is 0.0508 as a fraction and how it can be found easily.

Summary: 0.0508 in fraction form
0.0508 can be recognized as 508 ten-thousandths, which can be represented as 508/10000 in fraction form. The simplest form of 508/10000 is 127/2500. Therefore, 0.0508 as a fraction is 127/2500.

Write 0.0508 as a fraction in simplest form.
0.0508 = (?)
0.0508 = 0.0508/1
= (0.0508/1) x (10000/10000)      //0.0508 can be recognized as 508 ten-thousandths.
= 508/10000      //508 ten-thousandths is equal to 508/10000 and it can be simplified further.
= (508/4)/(10000/4)       //4 is the GCF of 508 and 10000. Divide both 508 and 10000 by the GCF 4 to simplify the fraction.
= 127/2500
0.0508 = 127/2500
0.0508 in its simplest fraction form is 127/2500.

So, what is the fraction of 0.0508?
It is 508/10000 in fraction. To simplify 508/10000, both the numerator and denominator can be divided by their greatest common divisor, which is 4 in this case. Dividing 508 by 4 gives 127, and dividing 10000 by 4 gives 2500. Thus, 508/10000 simplifies to 127/2500

Refer to the step by step work further to learn how to find what is 0.0508 as a fraction in simple form.

step 1 Input values:
The decimal number = 0.0508

What to be found:
What is 0.0508 as a fraction in simplest form?

step 2 Write 0.0508 as a simple fraction.
0.0508/1

step 3 Find how many 10s should be multiplied with both numerator and denominator of a fraction 0.0508/1.
Since the decimal 0.0508 has 4 digits after the decimal point, multiply 10000 with both numerator and denominator of 0.0508/1 to make numerator as a whole number.
(0.0508 x 10000)/(1 x 10000) = 508/10000

step 4 508 ten-thousandths is the fraction form of 0.0508, however, it can be reduced further. To simplify 508/10000, rewrite the numerator and denominator in the form of prime factors, check and cancel if any factors of 508 and 10000 cancel each other.
508/10000 = (4 x 127)/(4 x 2500)
= 127/2500
508/10000 = 127/2500
Hence,
0.0508 as a fraction is 127/2500.

Converting decimals like 0.0508 to fraction form involves a straightforward process. Recognizing the decimal's place value and its corresponding fractional equivalent is key when converting decimal point 0.0508 to fraction form. In this case, 0.0508 can be recognized as 508 ten-thousandths. So, the fraction form of 0.0508 is 508/10000. When it comes to writing the fraction in simple form, the factorization or GCF is a key to represent the fraction 508/10000 in its simplest form.