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$1 = £0.79. Change £20 to dollars.

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

Step by step

The question

Question: change £20 to dollars, when $1 = £0.79.

$1 = £0.79. Change £20 to dollars.

1 Write the rate

The rate says: 1 dollar is worth 0.79 pounds.

$1 = £0.79

From dollars to pounds, we multiply by 0.79.

Going back, we divide by 0.79.

dollars → pounds: × 0.79
pounds → dollars: ÷ 0.79

2 Divide by the rate

Each $1 gives £0.79.

So we find how many £0.79 fit in £20: we divide by 0.79.

£20 = $ 200.79

Careful!

From pounds back to dollars goes the other way.

We divide, not multiply.

Careful: not 20 × 0.79 = 15.8 ✗

20 divided by 0.79 is about $25.32.

≈ $25.32

To divide by 0.79, we move the point in both numbers 2 places: 2000 divided by 79.

Money goes to the cent.

20 ÷ 0.79 = 2000 ÷ 79 ≈ 25.32

So £20 is about $25.32.

3 Check

Let's check: change the answer back.

$25.32 times 0.79 is about £20.

change it back: $25.32 × 0.79 ≈ 20

That is what we started with.

So the answer is right!

£20 — what we started with

Let's look back.

First: write the rate.

Then: divide by the rate.

Last: check.

Answer
20 ÷ 0.79 = 2000 ÷ 79 ≈ 25.32

Your turn

Try this one yourself, then check:

$1 = £0.75. Change £27 to dollars.
Show the answer
£27 = $36

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