What is 0.9825 as a fraction in simplest form.

Converting the decimal number 0.9825 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 0.9825 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.9825 can be broken down as:

Here, 0 is the whole number part, and 0.9825 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.9825, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 9825/10000. To do this, find the greatest common divisor (GCD) of 9825 and 10000.

• The GCD of 9825 and 10000 is 25.

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

So, 0.9825 as a fraction is 393/400

Step 4: Combine the Whole Number and Fraction

Now that you have 0.9825 = 0 + 0.9825, express the entire number as a mixed fraction:

Here, 0/400 is the whole number 0, and 393/400 is the fractional part.

Final Result Answer

Fraction Form of 0.9825 After simplifying, we get the final fraction:

Conclusion

Converting 0.9825 to a fraction results in 393/400. 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.