Step by step
The question
Question: work out 5/9 × 6/25.
59 × 625
1 Cancel first
Before we multiply, we make the numbers smaller.
5 on top and 25 at the bottom both divide by 5.
6 on top and 9 at the bottom both divide by 3.
A top and a bottom divided by the same number: the answer stays the same.
5 and 25: ÷ 5 → 1 and 5
6 and 9: ÷ 3 → 2 and 3
So we multiply smaller numbers.
= 13 × 25
2 Multiply tops and bottoms
To multiply fractions, we do top times top, and bottom times bottom.
= 1 × 23 × 5
1 times 2 is 2.
3 times 5 is 15.
= 215
Can we make it simpler?
No number goes into both 2 and 15, except 1.
So it stays like this.
simplest ✓
So the answer is 2/15.
Let's look back.
First: cancel first.
Last: multiply tops and bottoms.
Answer
= 215