What is 0.2067 as a fraction in simplest form.

Answer: 0.2067 as a fraction is 2067/10000

Converting the decimal number 0.2067 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 0.2067 can be broken down as:

0.2067 = 0 + 0.2067


Here, 0 is the whole number part, and 0.2067 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.2067, to a fraction. To do this, consider the place value of the decimal:

0.2067 =

2067

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 2067/10000. To do this, find the greatest common divisor (GCD) of 2067 and 10000.

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


2067 ÷ 1

10000 ÷ 1

=

2067

10000



So, 0.2067 as a fraction is 2067/10000


Step 4: Combine the Whole Number and Fraction

Now that you have 0.2067 = 0 + 0.2067, express the entire number as a mixed fraction:

0.2067

= 0 +

2067

10000

=

0

10000

+

2067

10000

=

2067

10000



Here, 0/10000 is the whole number 0, and 2067/10000 is the fractional part.



Final Result: Fraction Form of 0.2067 After simplifying, we get the final fraction:

Answer: 0.2067 = 2067/10000



Conclusion

Converting 0.2067 to a fraction results in 2067/10000. 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