Step by step
The question
Question: work out 2 and 2/3 ÷ 1 and 1/3.
1 Make one fraction
2 and 2/3 is a mixed number.
Each whole one is 3/3.
So we do 2 times 3, plus 2.
The bottom stays 3.
2 times 3 plus 2 is 8.
So it is 8/3.
1 and 1/3 is a mixed number.
Each whole one is 3/3.
So we do 1 times 3, plus 1.
The bottom stays 3.
1 times 3 plus 1 is 4.
So it is 4/3.
2 Flip and multiply
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 4/3 becomes 3/4, and divide becomes times.
3 Cancel first
Before we multiply, we make the numbers smaller.
8 on top and 4 at the bottom both divide by 4.
3 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 1 is 2.
So the answer is 2.
Let's look back.
First: make one fraction.
Then: flip and multiply.
Last: cancel first.