What is 0.0045 as a fraction in simplest form.

Answer: 0.0045 as a fraction is 9/2000

Converting the decimal number 0.0045 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 0.0045 can be broken down as:

0.0045 = 0 + 0.0045


Here, 0 is the whole number part, and 0.0045 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.0045, to a fraction. To do this, consider the place value of the decimal:

0.0045 =

45

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 45/10000. To do this, find the greatest common divisor (GCD) of 45 and 10000.

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


45 ÷ 5

10000 ÷ 5

=

9

2000



So, 0.0045 as a fraction is 9/2000


Step 4: Combine the Whole Number and Fraction

Now that you have 0.0045 = 0 + 0.0045, express the entire number as a mixed fraction:

0.0045

= 0 +

9

2000

=

0

2000

+

9

2000

=

9

2000



Here, 0/2000 is the whole number 0, and 9/2000 is the fractional part.



Final Result: Fraction Form of 0.0045 After simplifying, we get the final fraction:

Answer: 0.0045 = 9/2000



Conclusion

Converting 0.0045 to a fraction results in 9/2000. 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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