What is 0.1943 as a fraction in simplest form.

Answer: 0.1943 as a fraction is 1943/10000

Converting the decimal number 0.1943 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 0.1943 can be broken down as:

0.1943 = 0 + 0.1943


Here, 0 is the whole number part, and 0.1943 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.1943, to a fraction. To do this, consider the place value of the decimal:

0.1943 =

1943

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 1943/10000. To do this, find the greatest common divisor (GCD) of 1943 and 10000.

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


1943 ÷ 1

10000 ÷ 1

=

1943

10000



So, 0.1943 as a fraction is 1943/10000


Step 4: Combine the Whole Number and Fraction

Now that you have 0.1943 = 0 + 0.1943, express the entire number as a mixed fraction:

0.1943

= 0 +

1943

10000

=

0

10000

+

1943

10000

=

1943

10000



Here, 0/10000 is the whole number 0, and 1943/10000 is the fractional part.



Final Result: Fraction Form of 0.1943 After simplifying, we get the final fraction:

Answer: 0.1943 = 1943/10000



Conclusion

Converting 0.1943 to a fraction results in 1943/10000. 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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