What is 1.0008 as a fraction in simplest form.

Converting the decimal number 1.0008 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 1.0008 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 1.0008 can be broken down as:

Here, 1 is the whole number part, and 0.00079999999999991 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.00079999999999991, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 79999999999991/100000000000000000. To do this, find the greatest common divisor (GCD) of 79999999999991 and 100000000000000000.

• The GCD of 79999999999991 and 100000000000000000 is 1.

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

So, 0.00079999999999991 as a fraction is 79999999999991/100000000000000000

Step 4: Combine the Whole Number and Fraction

Now that you have 1.0008 = 1 + 0.00079999999999991, express the entire number as a mixed fraction:

Here, 1.0E+17/100000000000000000 is the whole number 1, and 79999999999991/100000000000000000 is the fractional part.

Final Result Answer

Fraction Form of 1.0008 After simplifying, we get the final fraction:

Conclusion

Converting 1.0008 to a fraction results in 1.0008E+17/100000000000000000. 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.