What is 0.1408 as a fraction in simplest form.

Converting the decimal number 0.1408 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 0.1408 can be broken down as:

Here, 0 is the whole number part, and 0.1408 is the decimal part.

Focus on converting the decimal part, 0.1408, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 1408/10000. To do this, find the greatest common divisor (GCD) of 1408 and 10000.

• The GCD of 1408 and 10000 is 16.

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

So, 0.1408 as a fraction is 88/625

Now that you have 0.1408 = 0 + 0.1408, express the entire number as a mixed fraction:

Here, 0/625 is the whole number 0, and 88/625 is the fractional part.

Final Result: Fraction Form of 0.1408 After simplifying, we get the final fraction:

Converting 0.1408 to a fraction results in 88/625. 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.