What is 0.0999 as a fraction in simplest form.

Answer: 0.0999 as a fraction is 999/10000

Converting the decimal number 0.0999 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.

Step 1: Understand the Decimal

The decimal 0.0999 can be broken down as:

0.0999 = 0 + 0.0999


Here, 0 is the whole number part, and 0.0999 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.0999, to a fraction. To do this, consider the place value of the decimal:

0.0999 =

999

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 999/10000. To do this, find the greatest common divisor (GCD) of 999 and 10000.

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


999 ÷ 1

10000 ÷ 1

=

999

10000



So, 0.0999 as a fraction is 999/10000


Step 4: Combine the Whole Number and Fraction

Now that you have 0.0999 = 0 + 0.0999, express the entire number as a mixed fraction:

0.0999

= 0 +

999

10000

=

0

10000

+

999

10000

=

999

10000



Here, 0/10000 is the whole number 0, and 999/10000 is the fractional part.



Final Result: Fraction Form of 0.0999 After simplifying, we get the final fraction:

Answer: 0.0999 = 999/10000



Conclusion

Converting 0.0999 to a fraction results in 999/10000. 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.

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