What is 0.1160 as a fraction in simplest form.

Converting the decimal number 0.1160 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 0.1160 can be broken down as:

Here, 0 is the whole number part, and 0.116 is the decimal part.

Focus on converting the decimal part, 0.116, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 116/1000. To do this, find the greatest common divisor (GCD) of 116 and 1000.

• The GCD of 116 and 1000 is 4.

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

So, 0.116 as a fraction is 29/250

Now that you have 0.1160 = 0 + 0.116, express the entire number as a mixed fraction:

Here, 0/250 is the whole number 0, and 29/250 is the fractional part.

Final Result: Fraction Form of 0.1160 After simplifying, we get the final fraction:

Converting 0.1160 to a fraction results in 29/250. 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.