What is 0.1994 as a fraction in simplest form.

Answer: 0.1994 as a fraction is 997/5000

Converting the decimal number 0.1994 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 0.1994 can be broken down as:

0.1994 = 0 + 0.1994


Here, 0 is the whole number part, and 0.1994 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.1994, to a fraction. To do this, consider the place value of the decimal:

0.1994 =

1994

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 1994/10000. To do this, find the greatest common divisor (GCD) of 1994 and 10000.

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


1994 ÷ 2

10000 ÷ 2

=

997

5000



So, 0.1994 as a fraction is 997/5000


Step 4: Combine the Whole Number and Fraction

Now that you have 0.1994 = 0 + 0.1994, express the entire number as a mixed fraction:

0.1994

= 0 +

997

5000

=

0

5000

+

997

5000

=

997

5000



Here, 0/5000 is the whole number 0, and 997/5000 is the fractional part.



Final Result: Fraction Form of 0.1994 After simplifying, we get the final fraction:

Answer: 0.1994 = 997/5000



Conclusion

Converting 0.1994 to a fraction results in 997/5000. 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