What is 0.0844 as a fraction in simplest form.

Answer: 0.0844 as a fraction is 211/2500

Converting the decimal number 0.0844 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 0.0844 can be broken down as:

0.0844 = 0 + 0.0844


Here, 0 is the whole number part, and 0.0844 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.0844, to a fraction. To do this, consider the place value of the decimal:

0.0844 =

844

10000


Step 3: Simplify the Fraction

Now, simplify the fraction 844/10000. To do this, find the greatest common divisor (GCD) of 844 and 10000.

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


844 ÷ 4

10000 ÷ 4

=

211

2500



So, 0.0844 as a fraction is 211/2500


Step 4: Combine the Whole Number and Fraction

Now that you have 0.0844 = 0 + 0.0844, express the entire number as a mixed fraction:

0.0844

= 0 +

211

2500

=

0

2500

+

211

2500

=

211

2500



Here, 0/2500 is the whole number 0, and 211/2500 is the fractional part.



Final Result: Fraction Form of 0.0844 After simplifying, we get the final fraction:

Answer: 0.0844 = 211/2500



Conclusion

Converting 0.0844 to a fraction results in 211/2500. 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