Math Is Fun Forum

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Fraction 2/3 Equals 0.666?

Does 2/3 = 0.666? If not, which is larger? By how much?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,627

Re: Fraction 2/3 Equals 0.666?

No. Because 2/3 = 0.6666666 recurring so it is 0.0006666 recurrring bigger,

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Fraction 2/3 Equals 0.666?

No. Because 2/3 = 0.6666666 recurring so it is 0.0006666 recurrring bigger,

Bob

At another site someone said:

2/3=2000/3000
0.666=1998/3000
The former is larger by 1/1500.

You say?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,627

Re: Fraction 2/3 Equals 0.666?

then

by subtracting the recurring digits cancel out

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Fraction 2/3 Equals 0.666?

then

by subtracting the recurring digits cancel out

Bob

1. Thank you for your help.

2. I broke my promise to not post more than one topic per day. This ends today. My topic tomorrow will be the probability of independent and dependent events.

3. Sure wish I had time to learn the basics of Latex but honestly I do not especially when returning to my overnight hours on May 15.

Last edited by mathxyz (2024-05-11 17:39:21)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,627

Re: Fraction 2/3 Equals 0.666?

Learning Latex is like learning word processing. It's easy to make a start and then you add new skills as you need them.

The starting point is that all code must start with square brackets math. This 'turns on' the Latex interpreter. At the end of your code you must have square brackets /math to turn off the interpreter.

Here's one for you to try:

(3/4)^2 becomes in Latex ( \frac{3}{4} )^2

Notice the interpreter ignores the spaces but it helps me to see I've constructed correctly.  The bracket doesn't properly enclose the fraction but there's a pair of commands that corrrect that.  If you insert \left before the ( and \right before the ) then the interpreter makes the brackets the correct size automatically.  A space between the commands is essential.

\left ( \frac{3}{4} \right )^2

Why not give it a try?

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Fraction 2/3 Equals 0.666?

Learning Latex is like learning word processing. It's easy to make a start and then you add new skills as you need them.

The starting point is that all code must start with square brackets math. This 'turns on' the Latex interpreter. At the end of your code you must have square brackets /math to turn off the interpreter.

Here's one for you to try:

(3/4)^2 becomes in Latex ( \frac{3}{4} )^2

Notice the interpreter ignores the spaces but it helps me to see I've constructed correctly.  The bracket doesn't properly enclose the fraction but there's a pair of commands that corrrect that.  If you insert \left before the ( and \right before the ) then the interpreter makes the brackets the correct size automatically.  A space between the commands is essential.

\left ( \frac{3}{4} \right )^2

Why not give it a try?

Bob

I will use your sample.

You said:

\left ( \frac{3}{4} \right )^2

What if I change the information in the braces and also change the power?

\left ( \frac{x+2}{x-2} \right )^5

NOTE: I don't think it works with my android phone. Nothing happened as I expected.

Last edited by mathxyz (2024-05-12 01:41:49)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,627

Re: Fraction 2/3 Equals 0.666?

That would work but the Latex interpreter commands are missing. Trouble is if I put them in then the interpreter works and it doesn't show the interpreter command.  So if I leave them out then of course they don't show and if I put them in then they don't show.  I'll try leaving one space between each character to see if that allows me to show what is missing.  You'll have to remove the spaces.

[ m a t h ] \left ( \frac{x+2}{x-2} \right )^5 [ / m a t h ]

Everything after the first ] and until the next [ is ok as it is.

Checked on my Galaxy A21 with Android and Latex shows ok.

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Fraction 2/3 Equals 0.666?

That would work but the Latex interpreter commands are missing. Trouble is if I put them in then the interpreter works and it doesn't show the interpreter command.  So if I leave them out then of course they don't show and if I put them in then they don't show.  I'll try leaving one space between each character to see if that allows me to show what is missing.  You'll have to remove the spaces.

[ m a t h ] \left ( \frac{x+2}{x-2} \right )^5 [ / m a t h ]

Everything after the first ] and until the next [ is ok as it is.

Checked on my Galaxy A21 with Android and Latex shows ok.

Bob

What spaces must I remove?

Be back later.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,627

Re: Fraction 2/3 Equals 0.666?

[ space M space A space T space H space ]

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Fraction 2/3 Equals 0.666?

[ space M space A space T space H space ]

Bob

I simply copied and pasted and then inserted new information inside the braces and substituted power 2 for power 5 and nothing happened.

Bob,

Please remove that sexual post from the Help Forum. Another perverted psycho posted nonsense. People are sin sick in their spirit.
Thank God I am not into that garbage.

Last edited by mathxyz (2024-05-12 06:13:03)

KerimF

Member

From: Aleppo-Syria

Registered: 2018-08-10

Posts: 248

Re: Fraction 2/3 Equals 0.666?

[ m a t h ] \left ( \frac{x+2}{x-2} \right )^5 [ / m a t h ]

Or,

[_m_a_t_h_] \left ( \frac{x+2}{x-2} \right )^5 [_/_m_a_t_h_]

This works if all underscore characters are removed/erased (there are 11 here).

Below

[_math] \left ( \frac{x+2}{x-2} \right )^5 [_/math]

There are 2 underscores only to remove

Last edited by KerimF (2024-05-12 08:30:31)

---

Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).
But only a human may have the freedom and ability to oppose his natural robotic nature.
But, by opposing it, such a human becomes no more of this world.

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Fraction 2/3 Equals 0.666?

[ m a t h ] \left ( \frac{x+2}{x-2} \right )^5 [ / m a t h ]

Or,

[_m_a_t_h_] \left ( \frac{x+2}{x-2} \right )^5 [_/_m_a_t_h_]

This works if all underscore characters are removed/erased (there are 11 here).

Below

[_math] \left ( \frac{x+2}{x-2} \right )^5 [_/math]

There are 2 underscores only to remove

Thanks. Now, what if I wanted to place (x + 2)/(x - 2) in a square root?

I get this:
[_math] \left ( \sqrt{x+2}{x-2} \right )^5 [_/math]

Last edited by mathxyz (2024-05-12 08:41:39)

Bob

Administrator

Registered: 2010-06-20

Posts: 10,627

Re: Fraction 2/3 Equals 0.666?

[_math] \left ( \sqrt{x+2}{x-2} \right )^5 [_/math]

The frac{}{} is missing. Then the expression needs to be in {} after the square root command.

Did you still want ^5 as well. If yes then you could do this ^{\frac{5}{2}}

When I first joined the forum a command square brackets code could surround the math commands to stop the interpreter activating the commands. This allowed a poster to show a Latex command without it actually happening. All I see now is a black rectangle.  I'll give you an example:

What do others see?

Bob

Spam post removed. Unfortunately a novice had added two new, genuine posts to the thread.  When the lead post is deleted everything that follows goes too, so I copied the content into a new Help Me post. Best way to let me know when you spot any spam is to make a report.[link at bottom of the post] All mods and admin get your report when they next log in and so the first can delete the offending post and 'tick off' the report as dealt with.  That's quicker and safer than making a comment in a different post as (1) another mod might have been able to deal with it more quickly and (2) I might not even look at your post as it might not be one for me.

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

phrontister

Real Member

From: The Land of Tomorrow

Registered: 2009-07-12

Posts: 4,891

Re: Fraction 2/3 Equals 0.666?

Hi Bob;

When I first joined the forum a command square brackets code could surround the math commands to stop the interpreter activating the commands. This allowed a poster to show a Latex command without it actually happening. All I see now is a black rectangle.  I'll give you an example:

What do others see?

When I'm logged in I get this:

And when I'm logged out I get this:

I get the same effect on the 'LaTeX - A Crash Course' pages here and here.

As there's no mention in the LaTeX thread back then of there being black text on black background, I suspect that the problem is newish.

---

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Fraction 2/3 Equals 0.666?

Hi Bob;

When I first joined the forum a command square brackets code could surround the math commands to stop the interpreter activating the commands. This allowed a poster to show a Latex command without it actually happening. All I see now is a black rectangle.  I'll give you an example:

What do others see?

When I'm logged in I get this:
https://i.imgur.com/U0xPYxZ.png
And when I'm logged out I get this:
https://i.imgur.com/sW4HnfG.png

I get the same effect on the 'LaTeX - A Crash Course' pages here and here.

As there's no mention in the LaTeX thread back then of there being black text on black background, I suspect that the problem is newish.

Latex is not working for me, too. There is always another way to post questions.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,627

Re: Fraction 2/3 Equals 0.666?

When I'm logged in I get this:
https://i.imgur.com/U0xPYxZ.png
And when I'm logged out I get this:
https://i.imgur.com/sW4HnfG.png

Thanks for pointing me to this effect. I get it too. But why?  Neither is what I wanted.

It is something that didn't happen when I first joined (2010).  I suspect it happened when the server was changed.  Before then a poster could upload images too.

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Fraction 2/3 Equals 0.666?

When I'm logged in I get this:
https://i.imgur.com/U0xPYxZ.png
And when I'm logged out I get this:
https://i.imgur.com/sW4HnfG.png

Thanks for pointing me to this effect. I get it too. But why?  Neither is what I wanted.

It is something that didn't happen when I first joined (2010).  I suspect it happened when the server was changed.  Before then a poster could upload images too.

Bob

I will stay away from Latex and post my questions as best I know how.