0.16 as a fraction in simplest form
Understand the Problem
The question is asking to convert the decimal 0.16 into a fraction and reduce it to its simplest form. This involves determining how to express the decimal as a fraction and simplifying it by finding the greatest common divisor.
Answer
The simplified fraction of $0.16$ is $\frac{4}{25}$.
Answer for screen readers
The final answer is $\frac{4}{25}$.
Steps to Solve
- Convert the decimal to a fraction
To convert the decimal $0.16$ into a fraction, we can write it as $\frac{16}{100}$ because there are two digits after the decimal point.
- Simplify the fraction
Now we need to simplify $\frac{16}{100}$ by finding the greatest common divisor (GCD) of the numerator (16) and the denominator (100).
The GCD of 16 and 100 is 4.
- Divide numerator and denominator by the GCD
Now, we divide both the numerator and denominator by their GCD:
$$ \frac{16 \div 4}{100 \div 4} = \frac{4}{25} $$
The simplified fraction is $\frac{4}{25}$.
The final answer is $\frac{4}{25}$.
More Information
Converting decimals to fractions is a useful skill in mathematics. It helps in various applications, such as fractions in recipes or measurements. Also, $0.16$ is equivalent to $16%$, which can further show its relation to fractions.
Tips
- Failing to identify the correct GCD can result in not simplifying the fraction properly. Always double-check the GCD.
- Confusing the decimal part with the fraction can lead to errors in the conversion. Always ensure the correct placement of digits in the numerator and denominator.
