Step by step
The question
Question: change £36 to dollars, when $1 = £0.80.
1 Write the rate
The rate says: 1 dollar is worth 0.80 pounds.
From dollars to pounds, we multiply by 0.80.
Going back, we divide by 0.80.
2 Divide by the rate
Each $1 gives £0.80.
So we find how many £0.80 fit in £36: we divide by 0.80.
Careful!
From pounds back to dollars goes the other way.
We divide, not multiply.
36 divided by 0.80 is $45.
To divide by 0.80, we move the point in both numbers 2 places: 3600 divided by 80.
So £36 is $45.
3 Check
Let's check: change the answer back.
$45 times 0.80 is £36.
That is what we started with.
So the answer is right!
Let's look back.
First: write the rate.
Then: divide by the rate.
Last: check.