Steply

Calculate 2/5 × 3/4

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

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

Your turn

Try this one yourself, then check:

310 × 56
Show the answer
14

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