Step by step
The question
Question: work out 2 and 1/2 × 4.
212 × 4
1 Make one fraction
2 and 1/2 is a mixed number.
Each whole one is 2/2.
So we do 2 times 2, plus 1.
The bottom stays 2.
= 2 × 2 + 12 × 4
2 times 2 plus 1 is 5.
So it is 5/2.
= 52 × 4
2 Cancel first
Before we multiply, we make the numbers smaller.
4 on top and 2 at the bottom both divide by 2.
A top and a bottom divided by the same number: the answer stays the same.
4 and 2: ÷ 2 → 2 and 1
So we multiply smaller numbers.
= 51 × 21
5 times 2 is 10.
= 10
So the answer is 10.
Let's look back.
First: make one fraction.
Last: cancel first.
Answer
= 10