Questions: Convert 0.16 to a fraction.
0.16 = (Type a whole number or a simplified fraction.)
Transcript text: Convert 0.16 to a fraction.
$0.16=$ $\square$ (Type a whole number or a simplified fraction.)
Solution
Solution Steps
To convert a decimal to a fraction, identify the place value of the last digit. Here, 0.16 has two decimal places, so it is equivalent to 16/100. Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator and divide both by it.
Step 1: Convert Decimal to Fraction
The decimal \(0.16\) can be expressed as a fraction by writing it as \(\frac{16}{100}\).
Step 2: Simplify the Fraction
To simplify \(\frac{16}{100}\), we find the greatest common divisor (GCD) of \(16\) and \(100\), which is \(4\). Dividing both the numerator and the denominator by \(4\) gives:
\[
\frac{16 \div 4}{100 \div 4} = \frac{4}{25}
\]
Final Answer
The simplified fraction for \(0.16\) is \(\boxed{\frac{4}{25}}\).