What is 0.1525 as a fraction in simplest form.

Converting the decimal number 0.1525 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 0.1525 can be broken down as:

Here, 0 is the whole number part, and 0.1525 is the decimal part.

Focus on converting the decimal part, 0.1525, to a fraction. To do this, consider the place value of the decimal:

Now, simplify the fraction 1525/10000. To do this, find the greatest common divisor (GCD) of 1525 and 10000.

• The GCD of 1525 and 10000 is 25.

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

So, 0.1525 as a fraction is 61/400

Now that you have 0.1525 = 0 + 0.1525, express the entire number as a mixed fraction:

Here, 0/400 is the whole number 0, and 61/400 is the fractional part.

Final Result: Fraction Form of 0.1525 After simplifying, we get the final fraction:

Converting 0.1525 to a fraction results in 61/400. 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.