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
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Identify the Decimal Place The decimal number 0.116 has three digits after the decimal point. This means it can be expressed over 1000.
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Write as a Fraction We can write the decimal as a fraction: $$ \frac{0.116}{1} = \frac{116}{1000} $$
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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.
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Divide Numerator and Denominator by the GCD Now we divide both the numerator and the denominator by their GCD: $$ \frac{116 \div 4}{1000 \div 4} = \frac{29}{250} $$
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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.
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