What is 0.0017 as a fraction in simplest form.

Answer: 0.0017 as a fraction is 17/10000

Converting the decimal number 0.0017 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 0.0017 can be broken down as:

0.0017 = 0 + 0.0017


Here, 0 is the whole number part, and 0.0017 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.0017, to a fraction. To do this, consider the place value of the decimal:

0.0017 =

17

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 17/10000. To do this, find the greatest common divisor (GCD) of 17 and 10000.

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


17 ÷ 1

10000 ÷ 1

=

17

10000



So, 0.0017 as a fraction is 17/10000


Step 4: Combine the Whole Number and Fraction

Now that you have 0.0017 = 0 + 0.0017, express the entire number as a mixed fraction:

0.0017

= 0 +

17

10000

=

0

10000

+

17

10000

=

17

10000



Here, 0/10000 is the whole number 0, and 17/10000 is the fractional part.



Final Result: Fraction Form of 0.0017 After simplifying, we get the final fraction:

Answer: 0.0017 = 17/10000



Conclusion

Converting 0.0017 to a fraction results in 17/10000. 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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