What is 0.1790 as a fraction in simplest form.

Converting the decimal number 0.1790 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 0.1790 can be broken down as:

Here, 0 is the whole number part, and 0.179 is the decimal part.

Focus on converting the decimal part, 0.179, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 179/1000. To do this, find the greatest common divisor (GCD) of 179 and 1000.

• The GCD of 179 and 1000 is 1.

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

So, 0.179 as a fraction is 179/1000

Now that you have 0.1790 = 0 + 0.179, express the entire number as a mixed fraction:

Here, 0/1000 is the whole number 0, and 179/1000 is the fractional part.

Final Result: Fraction Form of 0.1790 After simplifying, we get the final fraction:

Converting 0.1790 to a fraction results in 179/1000. 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.