What is 1.0010 as a fraction in simplest form.

Converting the decimal number 1.0010 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 1.0010 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 1.0010 can be broken down as:

Here, 1 is the whole number part, and 0.00099999999999989 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.00099999999999989, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 99999999999989/100000000000000000. To do this, find the greatest common divisor (GCD) of 99999999999989 and 100000000000000000.

• The GCD of 99999999999989 and 100000000000000000 is 4.

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

So, 0.00099999999999989 as a fraction is 24999999999997/25000000000000000

Step 4: Combine the Whole Number and Fraction

Now that you have 1.0010 = 1 + 0.00099999999999989, express the entire number as a mixed fraction:

Here, 2.5E+16/25000000000000000 is the whole number 1, and 24999999999997/25000000000000000 is the fractional part.

Final Result Answer

Fraction Form of 1.0010 After simplifying, we get the final fraction:

Conclusion

Converting 1.0010 to a fraction results in 2.5025E+16/25000000000000000. 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.