6/2(1+2), or more properly represented as 6÷2(1+2) = 3 x 3 = 9

because, as brackets play a higher priority then multiplication, the brackets should be simplified first

because, as brackets play a higher priority then multiplication, the brackets should be simplified first

## 6 / 2(3)

as 2(3) is no longer strictly a "bracket" in BODMAS, instead being shorthand for 2 x 3, the equation can hence be broken down to

## 6 / 2 x 3

in which, when on one line, follows BODMAS to be

(6 ÷ 3) x 3, since in BODMAS, division has the same priority has multiplication, only having a higher priority in the case as the division is in front of the multiplication.

Therefore

6 ÷ 2(1+2) resolves to 3 x 3 which is

9.

The question is meant and designed to successfully trick you to thinking that it's

as the 2(1+2) part and the fraction sign (/) hints so, however the reality is, is that the equation is on one line, and that the fraction symbol is another way of writing the division symbol (÷)... (6÷2)(1+2) == 6÷2(1+2)

^{6}⁄_{2(1+2)}as the 2(1+2) part and the fraction sign (/) hints so, however the reality is, is that the equation is on one line, and that the fraction symbol is another way of writing the division symbol (÷)... (6÷2)(1+2) == 6÷2(1+2)

THERE IS NO NUMERATOR OR DENOMINATOR SINCE THE ARITHMETIC EXPRESSION IS NOT A FRACTION, IT IS MERELY A MISREPRESENTED DIVISION.

AS A RESULT, THE ENTIRE EXPRESSION CANNOT BE EXPRESSED AS A RATIO

(since it's not a fraction)

THE BRACKETS CAN BE EXPANDED, HOWEVER THE 6÷2 PART MUST BE SIMPLIFIED FIRST TO BE EXPANDED, e.g:

6 divided by 2 (1+2)

means

(6 / 2) * (1+2)

AS A RESULT, THE ENTIRE EXPRESSION CANNOT BE EXPRESSED AS A RATIO

(since it's not a fraction)

THE BRACKETS CAN BE EXPANDED, HOWEVER THE 6÷2 PART MUST BE SIMPLIFIED FIRST TO BE EXPANDED, e.g:

6 divided by 2 (1+2)

means

(6 / 2) * (1+2)

Which is equal to 3(1+2)

Which is 3*1+3*2

Which is 3+6

Which is 9..

Which is 3*1+3*2

Which is 3+6

Which is 9..

## Also,

2(1+2) ÷ 6 = 1, which is also equal to__2(1+2)__

**(**__÷ 6__

**)**Whilst:

6÷2 x (1+2), and 6÷2(1+2) [both equal to 9] is

**NOT**6 ÷

__2(1+2)__

**(**

**)**as the BODMAS rule would be incorrect if this wasn't the case

## Tl;dr

9