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what is 5 and 2\3 divided by 1\6

cassdy1  May 19, 2014

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 #10
avatar+85675 
+8

Sorry....I'm busy at the moment trying to extricate a Roman zero from a boulder........

It's a hyperbolic problem...........and that' s no hyperbole.....

 

CPhill  May 21, 2014
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17+0 Answers

 #1
avatar+2353 
+8

Okay so we have $$\frac{5\frac{2}{3}}{\frac{1}{6}}$$

Let's first rewrite $$5\frac{2}{3}$$ into one fraction.

$$5\frac{2}{3} = \frac{17}{3}$$

Then we make it 6'th instead of 3'rds

$$\frac{17}{3} = \frac{34}{6}$$

Okay, so now we have $$\frac{\frac{34}{6}}{\frac{1}{6}}$$ Since they are both 6'th I can rewrite this to

$$\frac{34}{1} = 34$$

 

If you find this difficult to see you can also do this; rewrite $$5\frac{2}{3}$$ to $$\frac{17}{3}$$

Then $$\frac{\frac{17}{3}}{\frac{1}{6}} = \frac{17}{3}*\frac{1}{\frac{1}{6}}= \frac{17}{3}*6 = 17*\frac{1}{3}*6 = 17*\frac{6}{3} = 17*2 = 34$$

Reinout 

reinout-g  May 19, 2014
 #2
avatar+85675 
+5

Let's convwert 5 + 2/3 to a fraction = 17/3

So we have

17/3 / 1/6         The rule is to "keep" the first fraction, "change" to multiplication  and "flip' the second fraction......So we have

17/3 x 6/1      We can "cancel" the 6 and the 3 and get 2    So we have

17/1 x 2/1  = 34

Remeber when we divide fractions......"keep"  "change" "flip'"

CPhill  May 19, 2014
 #3
avatar+92206 
+5

what is 5 and 2\3 divided by 1\6

Hi cassdy1,

To start with your fraction lines are the wrong way around.  They have to be like /

now

$$5\frac{2}{3} \div \frac{1}{6}$$

first you have to change the mixed numeral into an improper fraction.   3*5+2=17 that goes on the top and 3 goes on the bottom

$$=\frac{17}{3} \div \frac{1}{6}$$

Next, when you divide by a fraction you invert (the second one ) and multiply

$$=\frac{17}{3} \times \frac{6}{1}$$

$$=\frac{17\times 6}{3\times 1}$$

Now, 3 goes into itself 1 time and into 6 two times

$$=\frac{17\times 2}{1\times 1}$$

$$=\frac{34}{1}$$

34 divided by 1 is 34

=34

Melody  May 19, 2014
 #4
avatar+92206 
0

There you go Cassdy1

I told you lots of people would want to answer your question.

Now the tough bit is choosing which answer you like best.

If you need more help to understand just ask.

You can say which answer you are referring to!

None of us will mind - we just want to help you learn.

Melody  May 19, 2014
 #5
avatar+85675 
+8

We've just created a new math "identity"

1 question = "infinite" answers

Thus

1 = ∝

(And we have the "proof")

CPhill  May 19, 2014
 #6
avatar+92206 
0

Good one Chris!  I like it. lol for real!

how about you Cassdy1 ?

did you get too many answers? - does that make it harder?

Melody  May 19, 2014
 #7
avatar+4150 
0

actually 1 question=7 answers not infinite.................

zegroes  May 20, 2014
 #8
avatar
+8

Have a little English (Greek) with your math.

--

actually 1 question=7 answers not infinite by zegroes

--

You probably know what a “hyperbola” is. Now, you need to know what a “hyperbole” is.

If you don’t learn it, then everyone will be telling you this a billion times.

By: Someone Who Knows Everything

Guest May 20, 2014
 #9
avatar+92206 
0

You are the only one who is likely to be telling zegroes this!!

But then again since you are "someone who knows everything" 

It follows that you must be right.  

But - assuming that you do indeed know everything - you may still tell lies - and if you tell lies then maybe you really do not know everything - It does sound like a circular arguement - We need Sir Cumference here to arbitrate!  

I wonder if he is handy?

Perhaps Sir CPhill could take his place if Sir Cumference is not about the royal cylic quad?

Melody  May 21, 2014
 #10
avatar+85675 
+8
Best Answer

Sorry....I'm busy at the moment trying to extricate a Roman zero from a boulder........

It's a hyperbolic problem...........and that' s no hyperbole.....

 

CPhill  May 21, 2014
 #11
avatar+92206 
+3

That zero is a infinite weight upon your shoulders.  This is indeed true.

Hence let it be proclaimed that  $$0=\infty$$  is now indeed proven!

This shall be legislated in the land of Camelot!

This decree is the most important of all time and will remain so until  Indianna's legislation for $$\pi$$  1897!

By the order of Lady Guinevere

(Supreme Ruler of Camelot in the absence of King Arthur)

Melody  May 21, 2014
 #12
avatar+2353 
+5

AAAAAAAAAAAAAAARRRRRGGGHHH!

BY THE BEARD OF ZEUS!

THOU SHALT NOT TORMENT THY HOLY LAWS!

THOU SHALL FEAR THE WRATH OF MATH!

I CURSE THEE WITH UNBREAKABLE BONDS!

$$P=NP / P \neq NP$$

reinout-g  May 21, 2014
 #13
avatar+92206 
0

COOL!!! 

Melody  May 21, 2014
 #14
avatar
+5

From: Someone Who Knows Everything ... … …

I am almost humbled to be in this land of Camel Lot… Never the less, to the questions and proofs at hand or foot …

-----

… assuming that you do indeed know everything - you may still tell lies - and if you tell lies then maybe you really do not know everything - It does sound like a circular arguement - We need Sir Cumference here to arbitrate! :by Melody

---

Sir Cumference, (assuming he still has his head) would argue that I know “everything” about lies.

----

 ...I'm busy at the moment trying to extricate a Roman zero from a boulder. It's a hyperbolic problem...........and that' s no hyperbole.. :by CPhill

---

 Yes, it is a hyperbolic problem. We need a set of hyperbolic equations and a set of hyperbolic relations such that they converge at 42. The hyperbolic equations should contain most of the truth and the hyperbolic relations should contain most of the lies (and maybe contain the “Roman Zero”).

Now for the circular argument:

If our collective knowledge is the diameter of a circle, then is the circumference of the circle a measure of our ignorance?

Basic descriptive principle: as the diameter of knowledge increases, the circumference of ignorance increases by a factor of Pi.

If this is true, then the knowledge we gain increases our ignorance by a factor of Pi. This would mean I am the most ignorant person in the world.1 By the same measure, someone who knows nothing is the least ignorant. 2

Conceivably the circumference does not measure ignorance. It probably measures a border of ignorance – a border of what we do not know. The tangents of the circle are where we are aware of what we do not know. Farther out is where we are unaware of what we do not know.

A circle has an area. What does this define? Wisdom? If so, then wisdom increases as ½ the diameter squared times Pi. This seems too fast a rate.

This resonates like a paradox worthy of Sir Cumference.

Increase its complexity by defining this in three dimensions: If our collective knowledge is the diameter of a sphere, then … … …

This now resonates like a paradox worthy of Sir Phere, the progeny of Sir Cumference. However, that is another ball of wax. Anyone want to play ball?

If so, you will have to wait. I was doing this while skiing and I just received a call to investigate a plane crash.

Strange fixation: Someone keeps rolling a big bolder up the ski slope, while another keeps looking for something (or nothing) inside. He has three sets of sunglasses. Strange world we live in!

In the mean time, think outside the circle or sphere: question the basics. You may look like a fool, but, if you do not, you will be … for a lifetime. Believe me, I know, because I know everything. (There were a couple of people here, who did that once, …which is part of the reason I know everything).

Some of you now probably “know” something you did not know before. Those that do know are intelligent enough to know that some information is more valuable when it is esoteric.

By: Someone Who Knows Everything

Notes:

1) (And among the most arrogant).

2) (Not necessarily the least arrogant).

Guest May 21, 2014
 #15
avatar+92206 
0

This is a great piece of writing. 

I love all those analogies.  I'll ponder them for ages.  Thank you Mr know-it-all

Melody  May 21, 2014
 #16
avatar
0

Thank you for the compliment.

For the record, My name is not “Mr know-it-all”. He is on another forum.

I am “Someone Who Knows Everything”.

There are major differences in attitude and character between us. (I can elaborate on this if you wish).

It was intended as humorous hyperbole. (Though it really is true).

Guest May 21, 2014
 #17
avatar+92206 
0

Well, Someone Who Knows Everything, I stand corrected.

How many forums do you troll anyway?  Where do you find the time?

Melody  May 22, 2014

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