What is 0.0726 as a fraction in simplest form.

Converting the decimal number 0.0726 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 0.0726 can be broken down as:

Here, 0 is the whole number part, and 0.0726 is the decimal part.

Focus on converting the decimal part, 0.0726, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 726/10000. To do this, find the greatest common divisor (GCD) of 726 and 10000.

• The GCD of 726 and 10000 is 2.

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

So, 0.0726 as a fraction is 363/5000

Now that you have 0.0726 = 0 + 0.0726, express the entire number as a mixed fraction:

Here, 0/5000 is the whole number 0, and 363/5000 is the fractional part.

Final Result: Fraction Form of 0.0726 After simplifying, we get the final fraction:

Converting 0.0726 to a fraction results in 363/5000. 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.