Step by step
The question
Question: change 12 inches into centimeters.
1 Find the link
1 inch is 2.54 centimeters.
2 Make the unit fraction
We want centimeters, so centimeters go on top.
We have inches, so inches go at the bottom.
Top and bottom are the same amount.
So the fraction is 1, and times 1 keeps the size.
Careful!
Not upside down.
Then the inches would not cross out.
3 Multiply
We multiply 12 inches by the fraction.
Inches on top and at the bottom cancel, like numbers.
Cross them out.
Centimeters are left.
What is left: 12 times 2.54.
12 times 2.54 is 30.48.
So 12 inches is 30.48 centimeters.
4 Check
Does it make sense?
Centimeters are smaller than inches.
So we need more of them.
30.48 is more than 12.
Yes.
And back the other way: 30.48 divided by 2.54 = 12.
We get 12 inches again.
So the answer is right!
Let's look back.
First: find the link.
Then: make the unit fraction.
Then: multiply.
Last: check.