Step by step
The question
Question: work out 2/5 × 3/4.
25 × 34
1 Cancel first
Before we multiply, we make the numbers smaller.
2 on top and 4 at the bottom both divide by 2.
A top and a bottom divided by the same number: the answer stays the same.
2 and 4: ÷ 2 → 1 and 2
So we multiply smaller numbers.
= 15 × 32
2 Multiply tops and bottoms
To multiply fractions, we do top times top, and bottom times bottom.
= 1 × 35 × 2
1 times 3 is 3.
5 times 2 is 10.
= 310
Can we make it simpler?
No number goes into both 3 and 10, except 1.
So it stays like this.
simplest ✓
So the answer is 3/10.
Let's look back.
First: cancel first.
Last: multiply tops and bottoms.
Answer
= 310