Steply

Calculate 5/9 × 6/25

Step by step, with the reason for every step · Fractions · Foundations

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

Your turn

Try this one yourself, then check:

514 × 740
Show the answer
116

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