What is 0.1725 as a fraction in simplest form.

Answer: 0.1725 as a fraction is 431.25/2500

Converting the decimal number 0.1725 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.

Step 1: Understand the Decimal

The decimal 0.1725 can be broken down as:

0.1725 = 0 + 0.1725


Here, 0 is the whole number part, and 0.1725 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.1725, to a fraction. To do this, consider the place value of the decimal:

0.1725 =

1725

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 1725/10000. To do this, find the greatest common divisor (GCD) of 1725 and 10000.

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


1725 ÷ 4

10000 ÷ 4

=

431.25

2500



So, 0.1725 as a fraction is 431.25/2500


Step 4: Combine the Whole Number and Fraction

Now that you have 0.1725 = 0 + 0.1725, express the entire number as a mixed fraction:

0.1725

= 0 +

431.25

2500

=

0

2500

+

431.25

2500

=

431.25

2500



Here, 0/2500 is the whole number 0, and 431.25/2500 is the fractional part.



Final Result: Fraction Form of 0.1725 After simplifying, we get the final fraction:

Answer: 0.1725 = 431.25/2500



Conclusion

Converting 0.1725 to a fraction results in 431.25/2500. 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.

Calculated Values List