What is 0.0090 as a fraction in simplest form.

Answer: 0.0090 as a fraction is 9/1000

Converting the decimal number 0.0090 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 0.0090 can be broken down as:

0.0090 = 0 + 0.009


Here, 0 is the whole number part, and 0.009 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.009, to a fraction. To do this, consider the place value of the decimal:

0.009 =

9

1000


Step 3: Simplify the Fraction

Now, simplify the fraction 9/1000. To do this, find the greatest common divisor (GCD) of 9 and 1000.

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


9 ÷ 1

1000 ÷ 1

=

9

1000



So, 0.009 as a fraction is 9/1000


Step 4: Combine the Whole Number and Fraction

Now that you have 0.0090 = 0 + 0.009, express the entire number as a mixed fraction:

0.0090

= 0 +

9

1000

=

0

1000

+

9

1000

=

9

1000



Here, 0/1000 is the whole number 0, and 9/1000 is the fractional part.



Final Result: Fraction Form of 0.0090 After simplifying, we get the final fraction:

Answer: 0.0090 = 9/1000



Conclusion

Converting 0.0090 to a fraction results in 9/1000. 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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