What is 0.4825 as a fraction in simplest form.

Answer: 0.4825 as a fraction is 193/400

Converting the decimal number 0.4825 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.

How to write 0.4825 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.4825 can be broken down as:

0.4825 = 0 + 0.4825

Here, 0 is the whole number part, and 0.4825 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.4825, to a fraction. To do this, consider the place value of the decimal:

0.4825 =

4825

10000

Step 3: Simplify the Fraction

Now, simplify the fraction 4825/10000. To do this, find the greatest common divisor (GCD) of 4825 and 10000.

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


4825 ÷ 25

10000 ÷ 25

=

193

400

So, 0.4825 as a fraction is 193/400

Step 4: Combine the Whole Number and Fraction

Now that you have 0.4825 = 0 + 0.4825, express the entire number as a mixed fraction:

0.4825

= 0 +

193

400

=

0

400

+

193

400

=

193

400

Here, 0/400 is the whole number 0, and 193/400 is the fractional part.

Final Result Answer

Fraction Form of 0.4825 After simplifying, we get the final fraction:

Answer: 0.4825 = 193/400

Conclusion

Converting 0.4825 to a fraction results in 193/400. 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