What is 0.1180 as a fraction in simplest form.

Converting the decimal number 0.1180 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 0.1180 can be broken down as:

Here, 0 is the whole number part, and 0.118 is the decimal part.

Focus on converting the decimal part, 0.118, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 118/1000. To do this, find the greatest common divisor (GCD) of 118 and 1000.

• The GCD of 118 and 1000 is 2.

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

So, 0.118 as a fraction is 59/500

Now that you have 0.1180 = 0 + 0.118, express the entire number as a mixed fraction:

Here, 0/500 is the whole number 0, and 59/500 is the fractional part.

Final Result: Fraction Form of 0.1180 After simplifying, we get the final fraction:

Converting 0.1180 to a fraction results in 59/500. 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.