Which expression can be used to convert 22 Australian dollars to US dollars?

Assume 1.2 Australian dollars equals 1 US dollar.

$22 AUD × StartFraction 1.2 U S D Over 1 A U D EndFraction
$22 AUD × StartFraction 1 U S D Over 1.2 A U D EndFraction
$1.20 AUD × StartFraction 1 U S D Over 1.2 A U D EndFraction
$1.20 AUD × StartFraction 1.2 A U D Over 1 A U D EndFraction

1 answer

To convert Australian dollars (AUD) to US dollars (USD), you want to use a conversion factor that expresses the relationship between the two currencies.

Given that 1.2 Australian dollars equals 1 US dollar, you want to express this as a fraction that will convert AUD to USD.

To convert from AUD to USD, you should use the fraction that shows how many US dollars is equal to a given amount of Australian dollars.

The correct expression would be:

\[ 22 \text{ AUD} \times \frac{1 \text{ USD}}{1.2 \text{ AUD}} \]

This option is represented as:

\[ 22 \text{ AUD} \times \text{StartFraction 1 \text{ USD} Over 1.2 \text{ AUD} EndFraction} \]

This means you are taking 22 AUD, and for every 1.2 AUD, you are getting 1 USD, thereby converting AUD to USD.

Thus, the correct option is:

\[ 22 \text{ AUD} \times \frac{1 \text{ USD}}{1.2 \text{ AUD}} \]