What is 0.1675 as a fraction in simplest form.

Converting the decimal number 0.1675 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 0.1675 can be broken down as:

Here, 0 is the whole number part, and 0.1675 is the decimal part.

Focus on converting the decimal part, 0.1675, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 1675/10000. To do this, find the greatest common divisor (GCD) of 1675 and 10000.

• The GCD of 1675 and 10000 is 25.

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

So, 0.1675 as a fraction is 67/400

Now that you have 0.1675 = 0 + 0.1675, express the entire number as a mixed fraction:

Here, 0/400 is the whole number 0, and 67/400 is the fractional part.

Final Result: Fraction Form of 0.1675 After simplifying, we get the final fraction:

Converting 0.1675 to a fraction results in 67/400. 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.