What is 0.1150 as a fraction in simplest form.

Converting the decimal number 0.1150 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 0.1150 can be broken down as:

Here, 0 is the whole number part, and 0.115 is the decimal part.

Focus on converting the decimal part, 0.115, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 115/1000. To do this, find the greatest common divisor (GCD) of 115 and 1000.

• The GCD of 115 and 1000 is 5.

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

So, 0.115 as a fraction is 23/200

Now that you have 0.1150 = 0 + 0.115, express the entire number as a mixed fraction:

Here, 0/200 is the whole number 0, and 23/200 is the fractional part.

Final Result: Fraction Form of 0.1150 After simplifying, we get the final fraction:

Converting 0.1150 to a fraction results in 23/200. 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.