What is 0.8520 as a fraction in simplest form.

Converting the decimal number 0.8520 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 0.8520 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.8520 can be broken down as:

Here, 0 is the whole number part, and 0.852 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.852, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 852/1000. To do this, find the greatest common divisor (GCD) of 852 and 1000.

• The GCD of 852 and 1000 is 4.

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

So, 0.852 as a fraction is 213/250

Step 4: Combine the Whole Number and Fraction

Now that you have 0.8520 = 0 + 0.852, express the entire number as a mixed fraction:

Here, 0/250 is the whole number 0, and 213/250 is the fractional part.

Final Result Answer

Fraction Form of 0.8520 After simplifying, we get the final fraction:

Conclusion

Converting 0.8520 to a fraction results in 213/250. 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.