Steply

£1 = €1.15. Change €69 to pounds.

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

Step by step

The question

Question: change €69 to pounds, when £1 = €1.15.

£1 = €1.15. Change €69 to pounds.

1 Write the rate

The rate says: 1 pound is worth 1.15 euros.

£1 = €1.15

From pounds to euros, we multiply by 1.15.

Going back, we divide by 1.15.

pounds → euros: × 1.15
euros → pounds: ÷ 1.15

2 Divide by the rate

Each £1 gives €1.15.

So we find how many €1.15 fit in €69: we divide by 1.15.

€69 = £ 691.15

Careful!

From euros back to pounds goes the other way.

We divide, not multiply.

Careful: not 69 × 1.15 = 79.35 ✗

69 divided by 1.15 is £60.

= £60

To divide by 1.15, we move the point in both numbers 2 places: 6900 divided by 115.

69 ÷ 1.15 = 6900 ÷ 115 = 60

So €69 is £60.

3 Check

Let's check: change the answer back.

£60 times 1.15 is €69.

change it back: £60 × 1.15 = 69

That is what we started with.

So the answer is right!

€69 — what we started with

Let's look back.

First: write the rate.

Then: divide by the rate.

Last: check.

Answer
69 ÷ 1.15 = 6900 ÷ 115 = 60

Your turn

Try this one yourself, then check:

£1 = €1.20. Change €48 to pounds.
Show the answer
€48 = £40

More from Exchange rates

The whole lesson: Exchange rates →