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$1 = €0.80. Change €60 to dollars.

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

Step by step

The question

Question: change €60 to dollars, when $1 = €0.80.

$1 = €0.80. Change €60 to dollars.

1 Write the rate

The rate says: 1 dollar is worth 0.80 euros.

$1 = €0.80

From dollars to euros, we multiply by 0.80.

Going back, we divide by 0.80.

dollars → euros: × 0.80
euros → dollars: ÷ 0.80

2 Divide by the rate

Each $1 gives €0.80.

So we find how many €0.80 fit in €60: we divide by 0.80.

€60 = $ 600.80

Careful!

From euros back to dollars goes the other way.

We divide, not multiply.

Careful: not 60 × 0.80 = 48 ✗

60 divided by 0.80 is $75.

= $75

To divide by 0.80, we move the point in both numbers 2 places: 6000 divided by 80.

60 ÷ 0.80 = 6000 ÷ 80 = 75

So €60 is $75.

3 Check

Let's check: change the answer back.

$75 times 0.80 is €60.

change it back: $75 × 0.80 = 60

That is what we started with.

So the answer is right!

€60 — what we started with

Let's look back.

First: write the rate.

Then: divide by the rate.

Last: check.

Answer
60 ÷ 0.80 = 6000 ÷ 80 = 75

Your turn

Try this one yourself, then check:

$1 = €0.80. Change €92 to dollars.
Show the answer
€92 = $115

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