What is 0.1244 as a fraction in simplest form.

Answer: 0.1244 as a fraction is 311/2500

Converting the decimal number 0.1244 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 0.1244 can be broken down as:

0.1244 = 0 + 0.1244


Here, 0 is the whole number part, and 0.1244 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.1244, to a fraction. To do this, consider the place value of the decimal:

0.1244 =

1244

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 1244/10000. To do this, find the greatest common divisor (GCD) of 1244 and 10000.

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


1244 ÷ 4

10000 ÷ 4

=

311

2500



So, 0.1244 as a fraction is 311/2500


Step 4: Combine the Whole Number and Fraction

Now that you have 0.1244 = 0 + 0.1244, express the entire number as a mixed fraction:

0.1244

= 0 +

311

2500

=

0

2500

+

311

2500

=

311

2500



Here, 0/2500 is the whole number 0, and 311/2500 is the fractional part.



Final Result: Fraction Form of 0.1244 After simplifying, we get the final fraction:

Answer: 0.1244 = 311/2500



Conclusion

Converting 0.1244 to a fraction results in 311/2500. 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