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Calculate 6 ÷ (1 + 3)

Step by step, with the reason for every step · Order of operations · Foundations

Step by step

The question

Question: work out 6 ÷ (1 + 3).

6 ÷ (1 + 3)

1 Brackets first

Brackets come first.

Order: ( ) → x² √ → × ÷ → + −

1 plus 3 is 4.

= 6 ÷ 4

2 Times and divide

6 divided by 4 does not come out even.

So we write it as a fraction: 6/4.

= 64

Both 6 and 4 can be divided by 2.

That makes it simpler.

= 6 ÷ 24 ÷ 2

So it is 3/2.

= 32

Can we make it simpler?

No number goes into both 3 and 2, except 1.

So it stays like this.

simplest ✓

So the answer is 3/2.

Let's look back.

First: brackets first.

Last: times and divide.

Answer
= 32

Your turn

Try this one yourself, then check:

Work out 10 ÷ (1 + 2)
Show the answer
103

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