What is 0.0995 as a fraction in simplest form.

Answer: 0.0995 as a fraction is 199/2000

Converting the decimal number 0.0995 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 0.0995 can be broken down as:

0.0995 = 0 + 0.0995


Here, 0 is the whole number part, and 0.0995 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.0995, to a fraction. To do this, consider the place value of the decimal:

0.0995 =

995

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 995/10000. To do this, find the greatest common divisor (GCD) of 995 and 10000.

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


995 ÷ 5

10000 ÷ 5

=

199

2000



So, 0.0995 as a fraction is 199/2000


Step 4: Combine the Whole Number and Fraction

Now that you have 0.0995 = 0 + 0.0995, express the entire number as a mixed fraction:

0.0995

= 0 +

199

2000

=

0

2000

+

199

2000

=

199

2000



Here, 0/2000 is the whole number 0, and 199/2000 is the fractional part.



Final Result: Fraction Form of 0.0995 After simplifying, we get the final fraction:

Answer: 0.0995 = 199/2000



Conclusion

Converting 0.0995 to a fraction results in 199/2000. 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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