What is 0.5824 as a fraction in simplest form.

Answer: 0.5824 as a fraction is 364/625

Converting the decimal number 0.5824 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 0.5824 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.5824 can be broken down as:

0.5824 = 0 + 0.5824

Here, 0 is the whole number part, and 0.5824 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.5824, to a fraction. To do this, consider the place value of the decimal:

0.5824 =

5824

10000

Step 3: Simplify the Fraction

Now, simplify the fraction 5824/10000. To do this, find the greatest common divisor (GCD) of 5824 and 10000.

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


5824 ÷ 16

10000 ÷ 16

=

364

625

So, 0.5824 as a fraction is 364/625

Step 4: Combine the Whole Number and Fraction

Now that you have 0.5824 = 0 + 0.5824, express the entire number as a mixed fraction:

0.5824

= 0 +

364

625

=

0

625

+

364

625

=

364

625

Here, 0/625 is the whole number 0, and 364/625 is the fractional part.

Final Result Answer

Fraction Form of 0.5824 After simplifying, we get the final fraction:

Answer: 0.5824 = 364/625

Conclusion

Converting 0.5824 to a fraction results in 364/625. 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