What is 0.1140 as a fraction in simplest form.

Converting the decimal number 0.1140 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 0.1140 can be broken down as:

Here, 0 is the whole number part, and 0.114 is the decimal part.

Focus on converting the decimal part, 0.114, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 114/1000. To do this, find the greatest common divisor (GCD) of 114 and 1000.

• The GCD of 114 and 1000 is 2.

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

So, 0.114 as a fraction is 57/500

Now that you have 0.1140 = 0 + 0.114, express the entire number as a mixed fraction:

Here, 0/500 is the whole number 0, and 57/500 is the fractional part.

Final Result: Fraction Form of 0.1140 After simplifying, we get the final fraction:

Converting 0.1140 to a fraction results in 57/500. 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.