What is 0.2460 as a fraction in simplest form.

Answer: 0.2460 as a fraction is 123/500

Converting the decimal number 0.2460 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 0.2460 can be broken down as:

0.2460 = 0 + 0.246


Here, 0 is the whole number part, and 0.246 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.246, to a fraction. To do this, consider the place value of the decimal:

0.246 =

246

1000


Step 3: Simplify the Fraction

Now, simplify the fraction 246/1000. To do this, find the greatest common divisor (GCD) of 246 and 1000.

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


246 ÷ 2

1000 ÷ 2

=

123

500



So, 0.246 as a fraction is 123/500


Step 4: Combine the Whole Number and Fraction

Now that you have 0.2460 = 0 + 0.246, express the entire number as a mixed fraction:

0.2460

= 0 +

123

500

=

0

500

+

123

500

=

123

500



Here, 0/500 is the whole number 0, and 123/500 is the fractional part.



Final Result: Fraction Form of 0.2460 After simplifying, we get the final fraction:

Answer: 0.2460 = 123/500



Conclusion

Converting 0.2460 to a fraction results in 123/500. 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.

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