What is 0.6698 as a fraction in simplest form.

Answer: 0.6698 as a fraction is 6698/10000

Converting the decimal number 0.6698 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 0.6698 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.6698 can be broken down as:

0.6698 = 0 + 0.6698

Here, 0 is the whole number part, and 0.6698 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.6698, to a fraction. To do this, consider the place value of the decimal:

0.6698 =

6698

10000

Step 3: Simplify the Fraction

Now, simplify the fraction 6698/10000. To do this, find the greatest common divisor (GCD) of 6698 and 10000.

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


6698 ÷ 1

10000 ÷ 1

=

6698

10000

So, 0.6698 as a fraction is 6698/10000

Step 4: Combine the Whole Number and Fraction

Now that you have 0.6698 = 0 + 0.6698, express the entire number as a mixed fraction:

0.6698

= 0 +

6698

10000

=

0

10000

+

6698

10000

=

6698

10000

Here, 0/10000 is the whole number 0, and 6698/10000 is the fractional part.

Final Result Answer

Fraction Form of 0.6698 After simplifying, we get the final fraction:

Answer: 0.6698 = 6698/10000

Conclusion

Converting 0.6698 to a fraction results in 6698/10000. 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