Step by step
The question
Question: 5/6 cup of milk for 2/3 batch: how much is that per batch?
A unit rate says how much for 1 batch.
Per batch means: divide by the batchs.
1 Write the rate
Cups divided by batchs: 5/6 ÷ 2/3.
Careful!
Not the other way round.
That would be batchs per cup.
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 2/3 becomes 3/2, and divide becomes times.
Before we multiply, we make the numbers smaller.
3 on top and 6 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.
To multiply fractions, we do top times top, and bottom times bottom.
5 times 1 is 5.
2 times 2 is 4.
So the unit rate is 5/4 cups of milk per batch.
3 Check
Let's check: 5/4 cups of milk per batch, for 2/3 batch.
5/4 times 2/3 is 5/6.
That is the cups of milk we started with.
So the answer is right!
Let's look back.
First: write the rate.
Then: divide.
Last: check.