What is 1.2504 as a fraction in simplest form.

Answer: 1.2504 as a fraction is 12504/10000

Converting the decimal number 1.2504 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 1.2504 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 1.2504 can be broken down as:

1.2504 = 1 + 0.2504

Here, 1 is the whole number part, and 0.2504 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.2504, to a fraction. To do this, consider the place value of the decimal:

0.2504 =

2504

10000

Step 3: Simplify the Fraction

Now, simplify the fraction 2504/10000. To do this, find the greatest common divisor (GCD) of 2504 and 10000.

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


2504 ÷ 1

10000 ÷ 1

=

2504

10000

So, 0.2504 as a fraction is 2504/10000

Step 4: Combine the Whole Number and Fraction

Now that you have 1.2504 = 1 + 0.2504, express the entire number as a mixed fraction:

1.2504

= 1 +

2504

10000

=

10000

10000

+

2504

10000

=

12504

10000

Here, 10000/10000 is the whole number 1, and 2504/10000 is the fractional part.

Final Result Answer

Fraction Form of 1.2504 After simplifying, we get the final fraction:

Answer: 1.2504 = 12504/10000

Conclusion

Converting 1.2504 to a fraction results in 12504/10000. 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