To express 20.4545 as a fraction, we need to break it down:

### Step 1: Separate the whole number and the decimal part.
- Whole number = \(20\)
- Decimal part = \(0.4545\)

### Step 2: Convert the repeating decimal \(0.4545...\) into a fraction.

Let \( x = 0.4545...\)

Multiply both sides by 100 (since two digits repeat):
\[
100x = 45.4545...
\]

Now, subtract the original equation from this one:
\[
100x - x = 45.4545... - 0.4545...
\]
\[
99x = 45
\]

Solve for \(x\):
\[
x = \frac{45}{99} = \frac{5}{11}
\]

### Step 3: Add the whole number part back.
Now that we know \(0.4545 = \frac{5}{11}\), we add it to the whole number \(20\):
\[
20 + \frac{5}{11} = \frac{20 \times 11}{11} + \frac{5}{11} = \frac{220 + 5}{11} = \frac{225}{11}
\]

So, \(20.4545...\) as a fraction is \( \frac{225}{11} \).

Would you like more details, or do you have any questions?

### Related questions:
1. How can repeating decimals be converted into fractions?
2. How do you simplify fractions?
3. What is the difference between repeating and non-repeating decimals?
4. Can any repeating decimal be written as a fraction?
5. How do you add fractions with different denominators?

### Tip:
Always look for patterns in repeating decimals when converting them into fractions.

Learn how to convert 20.4545 to a fraction with a step-by-step solution. This problem involves separating the whole number from the repeating decimal, applying algebraic methods to convert 0.4545... into a fraction, and simplifying the result to get 225/11. Suitable for students in Grades 7-9.

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