What is 1.0095 as a fraction in simplest form.

Converting the decimal number 1.0095 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 1.0095 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 1.0095 can be broken down as:

Here, 1 is the whole number part, and 0.0095000000000001 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.0095000000000001, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 95000000000001/10000000000000000. To do this, find the greatest common divisor (GCD) of 95000000000001 and 10000000000000000.

• The GCD of 95000000000001 and 10000000000000000 is 5000000000000.

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

So, 0.0095000000000001 as a fraction is 19/2000

Step 4: Combine the Whole Number and Fraction

Now that you have 1.0095 = 1 + 0.0095000000000001, express the entire number as a mixed fraction:

Here, 2000/2000 is the whole number 1, and 19/2000 is the fractional part.

Final Result Answer

Fraction Form of 1.0095 After simplifying, we get the final fraction:

Conclusion

Converting 1.0095 to a fraction results in 2019/2000. 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.