What is 0.2455 as a fraction in simplest form.

Answer: 0.2455 as a fraction is 491/2000

Converting the decimal number 0.2455 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 0.2455 can be broken down as:

0.2455 = 0 + 0.2455


Here, 0 is the whole number part, and 0.2455 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.2455, to a fraction. To do this, consider the place value of the decimal:

0.2455 =

2455

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 2455/10000. To do this, find the greatest common divisor (GCD) of 2455 and 10000.

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


2455 ÷ 5

10000 ÷ 5

=

491

2000



So, 0.2455 as a fraction is 491/2000


Step 4: Combine the Whole Number and Fraction

Now that you have 0.2455 = 0 + 0.2455, express the entire number as a mixed fraction:

0.2455

= 0 +

491

2000

=

0

2000

+

491

2000

=

491

2000



Here, 0/2000 is the whole number 0, and 491/2000 is the fractional part.



Final Result: Fraction Form of 0.2455 After simplifying, we get the final fraction:

Answer: 0.2455 = 491/2000



Conclusion

Converting 0.2455 to a fraction results in 491/2000. 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