What is 0.2445 as a fraction in simplest form.

Answer: 0.2445 as a fraction is 489/2000

Converting the decimal number 0.2445 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 0.2445 can be broken down as:

0.2445 = 0 + 0.2445


Here, 0 is the whole number part, and 0.2445 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.2445, to a fraction. To do this, consider the place value of the decimal:

0.2445 =

2445

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 2445/10000. To do this, find the greatest common divisor (GCD) of 2445 and 10000.

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


2445 ÷ 5

10000 ÷ 5

=

489

2000



So, 0.2445 as a fraction is 489/2000


Step 4: Combine the Whole Number and Fraction

Now that you have 0.2445 = 0 + 0.2445, express the entire number as a mixed fraction:

0.2445

= 0 +

489

2000

=

0

2000

+

489

2000

=

489

2000



Here, 0/2000 is the whole number 0, and 489/2000 is the fractional part.



Final Result: Fraction Form of 0.2445 After simplifying, we get the final fraction:

Answer: 0.2445 = 489/2000



Conclusion

Converting 0.2445 to a fraction results in 489/2000. 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