What is 0.8250 as a fraction in simplest form.

Converting the decimal number 0.8250 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 0.8250 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.8250 can be broken down as:

Here, 0 is the whole number part, and 0.825 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.825, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 825/1000. To do this, find the greatest common divisor (GCD) of 825 and 1000.

• The GCD of 825 and 1000 is 25.

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

So, 0.825 as a fraction is 33/40

Step 4: Combine the Whole Number and Fraction

Now that you have 0.8250 = 0 + 0.825, express the entire number as a mixed fraction:

Here, 0/40 is the whole number 0, and 33/40 is the fractional part.

Final Result Answer

Fraction Form of 0.8250 After simplifying, we get the final fraction:

Conclusion

Converting 0.8250 to a fraction results in 33/40. 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.