What is 0.2508 as a fraction in simplest form.

Answer: 0.2508 as a fraction is 627/2500

Converting the decimal number 0.2508 into a fraction might seem tricky at first, but with the right steps, it's straightforward. This guide will walk you through the entire process, ensuring you understand each part of the conversion.

Step 1: Understand the Decimal

The decimal 0.2508 can be broken down as:

0.2508 = 0 + 0.2508


Here, 0 is the whole number part, and 0.2508 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.2508, to a fraction. To do this, consider the place value of the decimal:

0.2508 =

2508

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 2508/10000. To do this, find the greatest common divisor (GCD) of 2508 and 10000.

Now, divide both the numerator and the denominator by their GCD:


2508 ÷ 4

10000 ÷ 4

=

627

2500



So, 0.2508 as a fraction is 627/2500


Step 4: Combine the Whole Number and Fraction

Now that you have 0.2508 = 0 + 0.2508, express the entire number as a mixed fraction:

0.2508

= 0 +

627

2500

=

0

2500

+

627

2500

=

627

2500



Here, 0/2500 is the whole number 0, and 627/2500 is the fractional part.



Final Result: Fraction Form of 0.2508 After simplifying, we get the final fraction:

Answer: 0.2508 = 627/2500



Conclusion

Converting 0.2508 to a fraction results in 627/2500. This detailed process of breaking down the decimal, converting it, simplifying, and then combining the parts gives you a clear understanding of how to handle such conversions in math, everyday calculations, or even complex problem-solving.

Calculated Values List