What is 1.0001 as a fraction in simplest form.

Converting the decimal number 1.0001 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 1.0001 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 1.0001 can be broken down as:

Here, 1 is the whole number part, and 9.9999999999989E-5 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 9.9999999999989E-5, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 999999999999.89/10000000000000000. To do this, find the greatest common divisor (GCD) of 999999999999.89 and 10000000000000000.

• The GCD of 999999999999.89 and 10000000000000000 is 1.

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

So, 9.9999999999989E-5 as a fraction is 999999999999.89/10000000000000000

Step 4: Combine the Whole Number and Fraction

Now that you have 1.0001 = 1 + 9.9999999999989E-5, express the entire number as a mixed fraction:

Here, 1.0E+16/10000000000000000 is the whole number 1, and 999999999999.89/10000000000000000 is the fractional part.

Final Result Answer

Fraction Form of 1.0001 After simplifying, we get the final fraction:

Conclusion

Converting 1.0001 to a fraction results in 1.0001E+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.