What is 0.8320 as a fraction in simplest form.

Converting the decimal number 0.8320 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 0.8320 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.8320 can be broken down as:

Here, 0 is the whole number part, and 0.832 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.832, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 832/1000. To do this, find the greatest common divisor (GCD) of 832 and 1000.

• The GCD of 832 and 1000 is 8.

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

So, 0.832 as a fraction is 104/125

Step 4: Combine the Whole Number and Fraction

Now that you have 0.8320 = 0 + 0.832, express the entire number as a mixed fraction:

Here, 0/125 is the whole number 0, and 104/125 is the fractional part.

Final Result Answer

Fraction Form of 0.8320 After simplifying, we get the final fraction:

Conclusion

Converting 0.8320 to a fraction results in 104/125. 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.