What is 1.2525 as a fraction in simplest form.

Answer: 1.2525 as a fraction is 3131.25/2500

Converting the decimal number 1.2525 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.

How to write 1.2525 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 1.2525 can be broken down as:

1.2525 = 1 + 0.2525

Here, 1 is the whole number part, and 0.2525 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.2525, to a fraction. To do this, consider the place value of the decimal:

0.2525 =

2525

10000

Step 3: Simplify the Fraction

Now, simplify the fraction 2525/10000. To do this, find the greatest common divisor (GCD) of 2525 and 10000.

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


2525 ÷ 4

10000 ÷ 4

=

631.25

2500

So, 0.2525 as a fraction is 631.25/2500

Step 4: Combine the Whole Number and Fraction

Now that you have 1.2525 = 1 + 0.2525, express the entire number as a mixed fraction:

1.2525

= 1 +

631.25

2500

=

2500

2500

+

631.25

2500

=

3131.25

2500

Here, 2500/2500 is the whole number 1, and 631.25/2500 is the fractional part.

Final Result Answer

Fraction Form of 1.2525 After simplifying, we get the final fraction:

Answer: 1.2525 = 3131.25/2500

Conclusion

Converting 1.2525 to a fraction results in 3131.25/2500. 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