What is 0.5313 as a fraction in simplest form.

Answer: 0.5313 as a fraction is 5313/10000

Converting the decimal number 0.5313 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 0.5313 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.5313 can be broken down as:

0.5313 = 0 + 0.5313

Here, 0 is the whole number part, and 0.5313 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.5313, to a fraction. To do this, consider the place value of the decimal:

0.5313 =

5313

10000

Step 3: Simplify the Fraction

Now, simplify the fraction 5313/10000. To do this, find the greatest common divisor (GCD) of 5313 and 10000.

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


5313 ÷ 1

10000 ÷ 1

=

5313

10000

So, 0.5313 as a fraction is 5313/10000

Step 4: Combine the Whole Number and Fraction

Now that you have 0.5313 = 0 + 0.5313, express the entire number as a mixed fraction:

0.5313

= 0 +

5313

10000

=

0

10000

+

5313

10000

=

5313

10000

Here, 0/10000 is the whole number 0, and 5313/10000 is the fractional part.

Final Result Answer

Fraction Form of 0.5313 After simplifying, we get the final fraction:

Answer: 0.5313 = 5313/10000

Conclusion

Converting 0.5313 to a fraction results in 5313/10000. 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