Step by step
The question
Question: 3/4 mile in 1/3 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
Miles divided by hours: 3/4 ÷ 1/3.
Careful!
Not the other way round.
That would be hours per mile.
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 1/3 becomes 3, and divide becomes times.
To multiply fractions, we do top times top, and bottom times bottom.
A whole number is a fraction over 1.
3 times 3 is 9.
4 times 1 is 4.
So the unit rate is 9/4 miles per hour.
3 Check
Let's check: 9/4 miles per hour, for 1/3 hour.
9/4 times 1/3 is 3/4.
That is the miles we started with.
So the answer is right!
Let's look back.
First: write the rate.
Then: divide.
Last: check.