Question

Convert the following decimal into a fraction: 0.45.

Answer 1

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

1. **Write the decimal as a fraction**:
\[
0.45 = \frac{45}{100}
\]

2. **Simplify the fraction**:
Both the numerator (45) and the denominator (100) can be divided by their greatest common divisor (GCD). The GCD of 45 and 100 is 5.

So, divide both the numerator and the denominator by 5:
\[
\frac{45 \div 5}{100 \div 5} = \frac{9}{20}
\]

Thus, the decimal 0.45 as a fraction in simplest form is:
\[
\frac{9}{20}
\]