What is 1.2464 as a fraction in simplest form.

Answer: 1.2464 as a fraction is 12464/10000

Converting the decimal number 1.2464 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 1.2464 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 1.2464 can be broken down as:

1.2464 = 1 + 0.2464

Here, 1 is the whole number part, and 0.2464 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.2464, to a fraction. To do this, consider the place value of the decimal:

0.2464 =

2464

10000

Step 3: Simplify the Fraction

Now, simplify the fraction 2464/10000. To do this, find the greatest common divisor (GCD) of 2464 and 10000.

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


2464 ÷ 1

10000 ÷ 1

=

2464

10000

So, 0.2464 as a fraction is 2464/10000

Step 4: Combine the Whole Number and Fraction

Now that you have 1.2464 = 1 + 0.2464, express the entire number as a mixed fraction:

1.2464

= 1 +

2464

10000

=

10000

10000

+

2464

10000

=

12464

10000

Here, 10000/10000 is the whole number 1, and 2464/10000 is the fractional part.

Final Result Answer

Fraction Form of 1.2464 After simplifying, we get the final fraction:

Answer: 1.2464 = 12464/10000

Conclusion

Converting 1.2464 to a fraction results in 12464/10000. 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