# Explaining 6÷2(1+2), the correct answer

This has been spinning on internet from ages on what is the correct answer to the problem 6÷2(1+2). The two answers floating are

- 6÷2(1+2) = 9
- 6÷2(1+2) = 1

The source of confusion really lies in 2(1+2), where it is considered as an atomic equation which it is not, it is really 2 x (1+2). Now apply the BODMAS and you will get the answer correctly which is 9.

Watch the short video or read on

Details:

The Maths behind this has always been the same : **BODMAS.
**Which means Brackets, Orders, Division, Multiplication, Addition and Subtraction.

This is how you really solve it

**The Correct Answer**

**Q : ****6÷2(1+2)**

= 6÷2 x (1+2) –> Writing the correct way : Adding x

= 6÷2 x 3 –> BODMAS says solve the brackets first

= 3 x 3 –> Then the Division

= 9 –> Then the Multiplication

**The Incorrect Answer and the source of confusion **

This started with the notion of learning **Algebra with variables : ****2a ****÷**** 3b is considered to be (2xa) ****÷**** (3xb) **i.e. you would do the multiplication first and then the division

Apply this to the current question. We considered 2(1+2) be executed first.

Leading to 6 ÷ 6 which is totally incorrect

6÷2(1+2) was considered 6 ÷ 2a –> **A direct violation of BODMAS**

*Learn well folks, now you know what not to do*