What is 0.0765 as a fraction in simplest form.

Converting the decimal number 0.0765 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 0.0765 can be broken down as:

Here, 0 is the whole number part, and 0.0765 is the decimal part.

Focus on converting the decimal part, 0.0765, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 765/10000. To do this, find the greatest common divisor (GCD) of 765 and 10000.

• The GCD of 765 and 10000 is 5.

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

So, 0.0765 as a fraction is 153/2000

Now that you have 0.0765 = 0 + 0.0765, express the entire number as a mixed fraction:

Here, 0/2000 is the whole number 0, and 153/2000 is the fractional part.

Final Result: Fraction Form of 0.0765 After simplifying, we get the final fraction:

Converting 0.0765 to a fraction results in 153/2000. 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.