What is 0.2496 as a fraction in simplest form.

Answer: 0.2496 as a fraction is 156/625

Converting the decimal number 0.2496 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 0.2496 can be broken down as:

0.2496 = 0 + 0.2496


Here, 0 is the whole number part, and 0.2496 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.2496, to a fraction. To do this, consider the place value of the decimal:

0.2496 =

2496

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 2496/10000. To do this, find the greatest common divisor (GCD) of 2496 and 10000.

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


2496 ÷ 16

10000 ÷ 16

=

156

625



So, 0.2496 as a fraction is 156/625


Step 4: Combine the Whole Number and Fraction

Now that you have 0.2496 = 0 + 0.2496, express the entire number as a mixed fraction:

0.2496

= 0 +

156

625

=

0

625

+

156

625

=

156

625



Here, 0/625 is the whole number 0, and 156/625 is the fractional part.



Final Result: Fraction Form of 0.2496 After simplifying, we get the final fraction:

Answer: 0.2496 = 156/625



Conclusion

Converting 0.2496 to a fraction results in 156/625. 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.

Calculated Values List