What is 0.2475 as a fraction in simplest form.

Answer: 0.2475 as a fraction is 99/400

Converting the decimal number 0.2475 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 0.2475 can be broken down as:

0.2475 = 0 + 0.2475


Here, 0 is the whole number part, and 0.2475 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.2475, to a fraction. To do this, consider the place value of the decimal:

0.2475 =

2475

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 2475/10000. To do this, find the greatest common divisor (GCD) of 2475 and 10000.

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


2475 ÷ 25

10000 ÷ 25

=

99

400



So, 0.2475 as a fraction is 99/400


Step 4: Combine the Whole Number and Fraction

Now that you have 0.2475 = 0 + 0.2475, express the entire number as a mixed fraction:

0.2475

= 0 +

99

400

=

0

400

+

99

400

=

99

400



Here, 0/400 is the whole number 0, and 99/400 is the fractional part.



Final Result: Fraction Form of 0.2475 After simplifying, we get the final fraction:

Answer: 0.2475 = 99/400



Conclusion

Converting 0.2475 to a fraction results in 99/400. 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