Step by step
The question
Question: change $75 to pounds, when £1 = $1.25.
1 Write the rate
The rate says: 1 pound is worth 1.25 dollars.
From pounds to dollars, we multiply by 1.25.
Going back, we divide by 1.25.
2 Divide by the rate
Each £1 gives $1.25.
So we find how many $1.25 fit in $75: we divide by 1.25.
Careful!
From dollars back to pounds goes the other way.
We divide, not multiply.
75 divided by 1.25 is £60.
To divide by 1.25, we move the point in both numbers 2 places: 7500 divided by 125.
So $75 is £60.
3 Check
Let's check: change the answer back.
£60 times 1.25 is $75.
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.