To convert 22 Australian dollars (AUD) to US dollars (USD), let’s start by understanding the given exchange rate: 1.2 AUD is equivalent to 1 USD.
To find out how many US dollars 22 AUD is worth, we need to use the correct conversion factor. We are looking for an expression that correctly converts AUD to USD.
The correct approach is to use the exchange rate that gives us the amount of USD per 1 AUD. Since 1 USD is equal to 1.2 AUD, the exchange rate for converting AUD to USD would be the reciprocal of 1.2 (because we want to know how much 1 AUD is in USD). Thus, the exchange rate is [tex]\( \frac{1 \text{ USD}}{1.2 \text{ AUD}} \)[/tex].
Given this:
1. To convert 22 AUD to USD, use the expression:
[tex]\[ \text{\$22 AUD} \times \frac{1 \text{ USD}}{1.2 \text{ AUD}} \][/tex]
2. This simplifies to:
[tex]\[ \text{\$22 AUD} \times \frac{1}{1.2} \text{ USD/AUD} \][/tex]
3. Evaluating this:
[tex]\[ 22 \times \frac{1}{1.2} = 22 \times 0.8333333333\ldots \approx 18.3333333333 \][/tex]
Therefore, 22 AUD is approximately 18.33 USD (specifically, 18.333333333333336).
The correct expression to convert 22 Australian dollars to US dollars is:
[tex]\[ \boxed{\$ 22 \text{ AUD} \times \frac{1 \text{ USD}}{1.2 \text{ AUD}}} \][/tex]
