To convert the decimal 0.16 into a fraction, we can follow a straightforward process:
- Identify the decimal: The number we are looking at is 0.16.
- Understand the place value: The decimal 0.16 can be broken down into 16 in the hundredths place. This means that 0.16 is equivalent to 16 out of 100.
- Write as a fraction: Therefore, we can write 0.16 as the fraction 16/100.
- Simplify the fraction: To simplify, we need to find the greatest common divisor (GCD) of 16 and 100. The GCD is 4.
- Divide both the numerator and the denominator by their GCD:
- 16 ÷ 4 = 4
- 100 ÷ 4 = 25
- Final fraction: This results in the simplified fraction 4/25.
In conclusion, 0.16 as a fraction is 4/25.