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£1 = $1.25. Change $75 to pounds.

Step by step, with the reason for every step · Exchange rates · Foundations

Step by step

The question

Question: change $75 to pounds, when £1 = $1.25.

£1 = $1.25. Change $75 to pounds.

1 Write the rate

The rate says: 1 pound is worth 1.25 dollars.

£1 = $1.25

From pounds to dollars, we multiply by 1.25.

Going back, we divide by 1.25.

pounds → dollars: × 1.25
dollars → pounds: ÷ 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.

$75 = £ 751.25

Careful!

From dollars back to pounds goes the other way.

We divide, not multiply.

Careful: not 75 × 1.25 = 93.75 ✗

75 divided by 1.25 is £60.

= £60

To divide by 1.25, we move the point in both numbers 2 places: 7500 divided by 125.

75 ÷ 1.25 = 7500 ÷ 125 = 60

So $75 is £60.

3 Check

Let's check: change the answer back.

£60 times 1.25 is $75.

change it back: £60 × 1.25 = 75

That is what we started with.

So the answer is right!

$75 — what we started with

Let's look back.

First: write the rate.

Then: divide by the rate.

Last: check.

Answer
75 ÷ 1.25 = 7500 ÷ 125 = 60

Your turn

Try this one yourself, then check:

£1 = $1.30. Change $65 to pounds.
Show the answer
$65 = £50

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