0.116 as a fraction
Understand the Problem
The question is asking to convert the decimal number 0.116 into a fraction. This involves expressing the decimal as a fraction with its simplest form.
Answer
The fraction form of $0.116$ is $\frac{29}{250}$.
Answer for screen readers
The final answer is $\frac{29}{250}$.
Steps to Solve

Identify the Decimal Place The decimal number 0.116 has three digits after the decimal point. This means it can be expressed over 1000.

Write as a Fraction We can write the decimal as a fraction: $$ \frac{0.116}{1} = \frac{116}{1000} $$

Simplify the Fraction Next, we simplify the fraction $\frac{116}{1000}$ by finding the greatest common divisor (GCD) of 116 and 1000. The GCD is 4.

Divide Numerator and Denominator by the GCD Now we divide both the numerator and the denominator by their GCD: $$ \frac{116 \div 4}{1000 \div 4} = \frac{29}{250} $$

Final Fraction The simplified fraction form of the decimal 0.116 is: $$ \frac{29}{250} $$
The final answer is $\frac{29}{250}$.
More Information
99% of decimals can be converted to fractions. This particular example shows how to convert three decimal places into a simpler fraction, which can often be useful in various mathematical applications.
Tips
Common mistakes include:
 Forgetting to simplify the fraction after conversion.
 Incorrectly determining the GCD, leading to an unsimplified answer.