What is 0.0697 as a fraction in simplest form.

Answer: 0.0697 as a fraction is 697/10000

Converting the decimal number 0.0697 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 0.0697 can be broken down as:

0.0697 = 0 + 0.0697


Here, 0 is the whole number part, and 0.0697 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.0697, to a fraction. To do this, consider the place value of the decimal:

0.0697 =

697

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 697/10000. To do this, find the greatest common divisor (GCD) of 697 and 10000.

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


697 ÷ 1

10000 ÷ 1

=

697

10000



So, 0.0697 as a fraction is 697/10000


Step 4: Combine the Whole Number and Fraction

Now that you have 0.0697 = 0 + 0.0697, express the entire number as a mixed fraction:

0.0697

= 0 +

697

10000

=

0

10000

+

697

10000

=

697

10000



Here, 0/10000 is the whole number 0, and 697/10000 is the fractional part.



Final Result: Fraction Form of 0.0697 After simplifying, we get the final fraction:

Answer: 0.0697 = 697/10000



Conclusion

Converting 0.0697 to a fraction results in 697/10000. 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