What is 0.5018 as a fraction in simplest form.

Answer: 0.5018 as a fraction is 2509/5000

Converting the decimal number 0.5018 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 0.5018 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.5018 can be broken down as:

0.5018 = 0 + 0.5018

Here, 0 is the whole number part, and 0.5018 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.5018, to a fraction. To do this, consider the place value of the decimal:

0.5018 =

5018

10000

Step 3: Simplify the Fraction

Now, simplify the fraction 5018/10000. To do this, find the greatest common divisor (GCD) of 5018 and 10000.

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


5018 ÷ 2

10000 ÷ 2

=

2509

5000

So, 0.5018 as a fraction is 2509/5000

Step 4: Combine the Whole Number and Fraction

Now that you have 0.5018 = 0 + 0.5018, express the entire number as a mixed fraction:

0.5018

= 0 +

2509

5000

=

0

5000

+

2509

5000

=

2509

5000

Here, 0/5000 is the whole number 0, and 2509/5000 is the fractional part.

Final Result Answer

Fraction Form of 0.5018 After simplifying, we get the final fraction:

Answer: 0.5018 = 2509/5000

Conclusion

Converting 0.5018 to a fraction results in 2509/5000. 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