What is 0.1090 as a fraction in simplest form.

Converting the decimal number 0.1090 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.

The decimal 0.1090 can be broken down as:

Here, 0 is the whole number part, and 0.109 is the decimal part.

Focus on converting the decimal part, 0.109, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 109/1000. To do this, find the greatest common divisor (GCD) of 109 and 1000.

• The GCD of 109 and 1000 is 1.

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

So, 0.109 as a fraction is 109/1000

Now that you have 0.1090 = 0 + 0.109, express the entire number as a mixed fraction:

Here, 0/1000 is the whole number 0, and 109/1000 is the fractional part.

Final Result: Fraction Form of 0.1090 After simplifying, we get the final fraction:

Converting 0.1090 to a fraction results in 109/1000. 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.