Question

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

Answer 1

B

Explanation:

Did the quiz

Answer 2

B. 22 AUD * ($1)/(1.2 AUD)

Explanation:

Start with the equation of the conversion.

1.2 AUD = $1

Now divide both sides by 1.2 AUD.

(1.2 AUD)/(1.2 AUD) = ($1)/(1.2 AUD)

The left side equals 1 since you have a fraction in which the numerator and denominator are equal.

1 = ($1)/(1.2 AUD)

Notice that the line above shows that the fraction on the right equals 1. Since multiplying a number by 1 does not change the number, you can multiply a number of Australian dollars by ($1)/(1.2 AUD) without changing the amount.

Now start with 22 AUD.

We multiply it by the fraction ($1)/(1.2 AUD). This will nmot change the amount of ,money since this fraction equals 1.

22 AUD * ($1)/(1.2 AUD)

The expression above will give you a number in U.S. dollars since AUD cancels out.

Answer: B. 22 AUD * ($1)/(1.2 AUD)