Convert Decimal 0.45 to Simplified Fraction Form

To convert the decimal 0.45 to a fraction, we follow these steps:

• Step 1: Express the Decimal as a Fraction
  The decimal 0.45 can be expressed as $\frac{45}{100}$ because moving the decimal two places to the right makes the numerator 45, with 100 as the denominator since there are two decimal places.
• Step 2: Simplify the Fraction
  Identify the greatest common divisor (GCD) of 45 and 100. The divisors of 45 are 1, 3, 5, 9, 15, 45, and the divisors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. The largest common divisor is 5.
• Step 3: Divide by the GCD
  Divide both the numerator and denominator by 5:
  $\frac{45}{100} = \frac{45 \div 5}{100 \div 5} = \frac{9}{20}$

Therefore, the simplified fraction corresponding to the decimal 0.45 is $\frac{9}{20}$.

The correct answer from the choices provided is $\frac{9}{20}$, which corresponds to choice 2.