Why is 2pi plus pi/6 equal to 13pi/6? I dont understand how to add using pi?

Answer 1

Imagine Pi to be an actual apple pie.

What's 2 pies plus a sixth of a pie?

Well each of the full pies is six sixths of a pie. So you've got 13 sixths in total.

It's exactly the same with Pi as it is with pie.

Answer 2

2pi + pi/6 is no harder than adding 2 + 1/6. I'll show you why.

Suppose we have 2pi + pi/6. If we factor pi out of that, we have

pi(2 + 1/6)

Now we add 2 + 1/6 normally.
2 + 1/6 = 12/6 + 1/6 = 13/6

Plugging this in, we have

pi(13/6), which is equal to 13pi/6

Answer 3

1 is the same as 6/6, so 2 is the same as 12/6. if you add 1/6 you get 13/6. Pi is not complicating anything here. you could also rewrite as follows:

pi x (12/6) + pi x (1/6) = pi x (12/6 + 1/6) = pi x 13/6 = 13pi /6

Answer 4

pi is a relentless (meaning that it rather is in many circumstances the comparable extensive form), and because it rather is in the two areas of the expression (7pi/5 AND 2pi) you are able to element it out. Then the equation will become pi*(7/5+2). to characteristic fractions they choose the comparable denominator so 2=10/5. Then the equation will become pi*(7/5+10/5) which equals pi*(17/5) which equals 17pi/5. The lesson to benefit from this situation is that pi is a relentless and can act like another variable in an equation. you merely do no longer could clean up fore it interior the top :D.

Answer 5

"pi" is just a number, you even do not need to know what it is....

First,

put the PI number away, and calculate the equation...we have,

2 + (1/3) = which is equal to 13/6....now multiply PI, which you first put it away, with the number you found...

so you'll get 13PI/6...

try these steps on a paper...you'll see how it easy is?

Answer 6

pi is just like any number or integer, assume pi is a, b, or c.. whatever you want it to be.

So, if you assume pi = a

you get

2a + a/6

And you want to get the same denominator 6 for both, so..

= (6/6*2a) + (a/6) = (12a/6) + (a/6) = (12a+a)/6 = 13a/6

Substitute pi = a
you get
13pi/6

Got it? Good!

Answer 7

you could change it to this

pi + pi + pi/6 then pi the terms over a common denominator

(6pi +6pi +pi)/6 then add the pies and you find 13 pies/6

if adding pi bothers you just change the term to horseshoes or sled dogs or any other thing that you can relate to.

Answer 8

You don't need to add with pi in order to figure out this equation--this is algebra. You can replace "pi" with "x" like this:

2x + x/6 = 13x/6
Multiply each side by 6:
6 (2x + x/6) = 12x + x
6 (13x/6) = 13x
Thus:
12x + x = 13x

Answer 9

2 π + π/6 = 12π/6 + π/6 = 13π/6

Answer 10

treat pi like any other variable like x,y....