Step by step
The question
Question: $6 for 3/4 pound: how much is that per pound?
A unit rate says how much for 1 pound.
Per pound means: divide by the pounds.
1 Write the rate
Dollars divided by pounds: 6 ÷ 3/4.
Careful!
Not the other way round.
That would be pounds per dollar.
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.
6 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.
2 times 4 is 8.
So the unit rate is $8 per pound.
3 Check
Let's check: $8 per pound, for 3/4 pound.
8 times 3/4 is 6.
That is the price we started with.
So the answer is right!
Let's look back.
First: write the rate.
Then: divide.
Last: check.