What is 0.2025 as a fraction in simplest form.

Answer: 0.2025 as a fraction is 81/400

Converting the decimal number 0.2025 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 0.2025 can be broken down as:

0.2025 = 0 + 0.2025


Here, 0 is the whole number part, and 0.2025 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.2025, to a fraction. To do this, consider the place value of the decimal:

0.2025 =

2025

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 2025/10000. To do this, find the greatest common divisor (GCD) of 2025 and 10000.

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


2025 ÷ 25

10000 ÷ 25

=

81

400



So, 0.2025 as a fraction is 81/400


Step 4: Combine the Whole Number and Fraction

Now that you have 0.2025 = 0 + 0.2025, express the entire number as a mixed fraction:

0.2025

= 0 +

81

400

=

0

400

+

81

400

=

81

400



Here, 0/400 is the whole number 0, and 81/400 is the fractional part.



Final Result: Fraction Form of 0.2025 After simplifying, we get the final fraction:

Answer: 0.2025 = 81/400



Conclusion

Converting 0.2025 to a fraction results in 81/400. 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