MHB What is the difference between the symbols ÷ / in division?

[chrisgk]

the result of 6:2(2+1) is 9 or 1?

 

[I like Serena]

the result of 6:2(2+1) is 9 or 1?

Hi chrisgk, welcome to MHB,

Divisions and multiplications have equal precedence and are evaluated from left to right.
So 6:2(2+1) = (6:2)(2+1) = 9.

 

[skeeter]

question ...

Doen't colon ratio symbol, " : ", behave like a vinculum?

i.e. $a:b+c = \dfrac{a}{b+c}$ ?

reason I ask is Wolfram Alpha interprets 4:5+6 as 4/11

 

[I like Serena]

question ...

Doen't colon ratio symbol, " : ", behave like a vinculum?

i.e. $a:b+c = \dfrac{a}{b+c}$ ?

reason I ask is Wolfram Alpha interprets 4:5+6 as 4/11

That's... unexpected...

Just saying:
View attachment 6669

It's kind of interesting to see that the OP's question is a perfect match for a meme on the internet...

 

[skeeter]

perfect match?

the result of 6:2(2+1) is 9 or 1?

looks to me the OP posted a colon, $\colon$ , not a division symbol, $\div$

 

[chrisgk]

Who is the difference between the symbols ÷ / :

 

[skeeter]

Who is the difference between the symbols ÷ / :

$\div$ and $/$ mean the same thing, the operation of division

$a \div b = a/b = \dfrac{a}{b}$

the colon symbol, $\colon$ , indicates a ratio ... a ratio is a comparison of two values achieved by division.