What is 0.0745 as a fraction in simplest form.

Converting the decimal number 0.0745 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 0.0745 can be broken down as:

Here, 0 is the whole number part, and 0.0745 is the decimal part.

Focus on converting the decimal part, 0.0745, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 745/10000. To do this, find the greatest common divisor (GCD) of 745 and 10000.

• The GCD of 745 and 10000 is 5.

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

So, 0.0745 as a fraction is 149/2000

Now that you have 0.0745 = 0 + 0.0745, express the entire number as a mixed fraction:

Here, 0/2000 is the whole number 0, and 149/2000 is the fractional part.

Final Result: Fraction Form of 0.0745 After simplifying, we get the final fraction:

Converting 0.0745 to a fraction results in 149/2000. 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.