Step by step
The question
Question: 9 pages in 3/4 hour: how much is that per hour?
A unit rate says how much for 1 hour.
Per hour means: divide by the hours.
1 Write the rate
Pages divided by hours: 9 ÷ 3/4.
Careful!
Not the other way round.
That would be hours per page.
2 Divide
Dividing by a fraction is the same as times its flip.
Keep the first number.
Change divide to times.
Turn the second fraction upside down.
So 3/4 becomes 4/3, and divide becomes times.
Before we multiply, we make the numbers smaller.
9 on top and 3 at the bottom both divide by 3.
A top and a bottom divided by the same number: the answer stays the same.
So we multiply smaller numbers.
3 times 4 is 12.
So the unit rate is 12 pages per hour.
3 Check
Let's check: 12 pages per hour, for 3/4 hour.
12 times 3/4 is 9.
That is the pages we started with.
So the answer is right!
Let's look back.
First: write the rate.
Then: divide.
Last: check.