Convert 10 miles to km Step by Step

Step by step

The question

Question: change 10 miles into kilometers.

10 mi = ? km

1 Find the link

1 mile is about 1.61 kilometers.

This link is rounded, so our answer is rounded too: to the nearest tenth.

1 mi ≈ 1.61 km

2 Make the unit fraction

We want kilometers, so kilometers go on top.

We have miles, so miles go at the bottom.

Top and bottom are the same amount.

So the fraction is 1, and times 1 keeps the size.

1.61 km1 mi ≈ 1

Careful!

Not upside down.

Then the miles would not cross out.

Careful: not 10 mi × 1 mi1.61 km ✗

3 Multiply

We multiply 10 miles by the fraction.

10 mi = 10 mi × 1.61 km1 mi

Miles on top and at the bottom cancel, like numbers.

Cross them out.

Kilometers are left.

What is left: 10 times 1.61.

= 10 × 1.61 km

10 times 1.61 is 16.1.

So 10 miles is about 16.1 kilometers.

≈ 16.1 km

4 Check

Does it make sense?

Kilometers are smaller than miles.

So we need more of them.

16.1 is more than 10.

Yes.

km smaller than mi → more: 16.1 > 10

And back the other way: 16.1 divided by 1.61 = 10.

We get 10 miles again.

So the answer is right!

back: 16.1 ÷ 1.61 = 10

Let's look back.

First: find the link.

Then: make the unit fraction.

Then: multiply.

Last: check.

Answer