What is 0.8524 as a fraction in simplest form.

Answer: 0.8524 as a fraction is 2131/2500

Converting the decimal number 0.8524 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 0.8524 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.8524 can be broken down as:

0.8524 = 0 + 0.8524

Here, 0 is the whole number part, and 0.8524 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.8524, to a fraction. To do this, consider the place value of the decimal:

0.8524 =

8524

10000

Step 3: Simplify the Fraction

Now, simplify the fraction 8524/10000. To do this, find the greatest common divisor (GCD) of 8524 and 10000.

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


8524 ÷ 4

10000 ÷ 4

=

2131

2500

So, 0.8524 as a fraction is 2131/2500

Step 4: Combine the Whole Number and Fraction

Now that you have 0.8524 = 0 + 0.8524, express the entire number as a mixed fraction:

0.8524

= 0 +

2131

2500

=

0

2500

+

2131

2500

=

2131

2500

Here, 0/2500 is the whole number 0, and 2131/2500 is the fractional part.

Final Result Answer

Fraction Form of 0.8524 After simplifying, we get the final fraction:

Answer: 0.8524 = 2131/2500

Conclusion

Converting 0.8524 to a fraction results in 2131/2500. 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