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€1 = $1.20. Change $90 to euros.

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

Step by step

The question

Question: change $90 to euros, when €1 = $1.20.

€1 = $1.20. Change $90 to euros.

1 Write the rate

The rate says: 1 euro is worth 1.20 dollars.

€1 = $1.20

From euros to dollars, we multiply by 1.20.

Going back, we divide by 1.20.

euros → dollars: × 1.20
dollars → euros: ÷ 1.20

2 Divide by the rate

Each €1 gives $1.20.

So we find how many $1.20 fit in $90: we divide by 1.20.

$90 = € 901.20

Careful!

From dollars back to euros goes the other way.

We divide, not multiply.

Careful: not 90 × 1.20 = 108 ✗

90 divided by 1.20 is €75.

= €75

To divide by 1.20, we move the point in both numbers 2 places: 9000 divided by 120.

90 ÷ 1.20 = 9000 ÷ 120 = 75

So $90 is €75.

3 Check

Let's check: change the answer back.

€75 times 1.20 is $90.

change it back: €75 × 1.20 = 90

That is what we started with.

So the answer is right!

$90 — what we started with

Let's look back.

First: write the rate.

Then: divide by the rate.

Last: check.

Answer
90 ÷ 1.20 = 9000 ÷ 120 = 75

Your turn

Try this one yourself, then check:

€1 = $1.25. Change $110 to euros.
Show the answer
$110 = €88

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