What is 0.1980 as a fraction in simplest form.

Answer: 0.1980 as a fraction is 99/500

Converting the decimal number 0.1980 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 0.1980 can be broken down as:

0.1980 = 0 + 0.198


Here, 0 is the whole number part, and 0.198 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.198, to a fraction. To do this, consider the place value of the decimal:

0.198 =

198

1000


Step 3: Simplify the Fraction

Now, simplify the fraction 198/1000. To do this, find the greatest common divisor (GCD) of 198 and 1000.

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


198 ÷ 2

1000 ÷ 2

=

99

500



So, 0.198 as a fraction is 99/500


Step 4: Combine the Whole Number and Fraction

Now that you have 0.1980 = 0 + 0.198, express the entire number as a mixed fraction:

0.1980

= 0 +

99

500

=

0

500

+

99

500

=

99

500



Here, 0/500 is the whole number 0, and 99/500 is the fractional part.



Final Result: Fraction Form of 0.1980 After simplifying, we get the final fraction:

Answer: 0.1980 = 99/500



Conclusion

Converting 0.1980 to a fraction results in 99/500. 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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