What is 1.0027 as a fraction in simplest form.

Answer: 1.0027 as a fraction is 1.0027E+16/10000000000000000

Converting the decimal number 1.0027 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.

How to write 1.0027 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 1.0027 can be broken down as:

1.0027 = 1 + 0.0026999999999999

Here, 1 is the whole number part, and 0.0026999999999999 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.0026999999999999, to a fraction. To do this, consider the place value of the decimal:

0.0026999999999999 =

26999999999999

10000000000000000

Step 3: Simplify the Fraction

Now, simplify the fraction 26999999999999/10000000000000000. To do this, find the greatest common divisor (GCD) of 26999999999999 and 10000000000000000.

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


26999999999999 ÷ 1

10000000000000000 ÷ 1

=

26999999999999

10000000000000000

So, 0.0026999999999999 as a fraction is 26999999999999/10000000000000000

Step 4: Combine the Whole Number and Fraction

Now that you have 1.0027 = 1 + 0.0026999999999999, express the entire number as a mixed fraction:

1.0027

= 1 +

26999999999999

10000000000000000

=

1.0E+16

10000000000000000

+

26999999999999

10000000000000000

=

1.0027E+16

10000000000000000

Here, 1.0E+16/10000000000000000 is the whole number 1, and 26999999999999/10000000000000000 is the fractional part.

Final Result Answer

Fraction Form of 1.0027 After simplifying, we get the final fraction:

Answer: 1.0027 = 1.0027E+16/10000000000000000

Conclusion

Converting 1.0027 to a fraction results in 1.0027E+16/10000000000000000. 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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