To find the value of 1 PGK in Australian dollars, we can follow these steps:
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First, convert PGK to USD. Since 1 PGK is worth 42 US cents, we can express this as: \[ 1 \text{ PGK} = 0.42 \text{ USD} \]
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Next, convert USD to Australian dollars. Since 1 Australian dollar is worth 96 US cents, we can express this as: \[ 1 \text{ AUD} = 0.96 \text{ USD} \] This means: \[ 1 \text{ USD} = \frac{1}{0.96} \text{ AUD} \approx 1.04167 \text{ AUD} \]
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Now, we can convert 0.42 USD to Australian dollars: \[ 0.42 \text{ USD} \times 1.04167 \text{ AUD/USD} \approx 0.437 \text{ AUD} \]
So, the value of 1 PGK in Australian dollars is approximately 0.437 AUD.