-3
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Puzzle

Ok here are some rules because it would be too easy/too hard without them

  1. Round to nearest 100th
  2. The first number cannot be an integer
  3. Needs to be an equality
  4. No mixed numbers

Hint:

The equal sigh need not be aligned.

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  • 2
    $\begingroup$ What matchsticks? $\endgroup$ – f'' Jul 16 '16 at 3:21
  • $\begingroup$ @f'' They're figurative :P $\endgroup$ – bleh Jul 16 '16 at 3:23
  • $\begingroup$ Changing the rules 3 times... $\endgroup$ – Poolsharker Jul 16 '16 at 13:56
  • $\begingroup$ What are "mixed numbers"? $\endgroup$ – Jonathan Allan Jul 16 '16 at 14:30
  • $\begingroup$ @Poolsharker This is a lesson for me to always think a problem through. $\endgroup$ – bleh Jul 16 '16 at 15:28
9
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Answer after second puzzle change

Can do it moving $2$ matches (maybe there is a way for $1$?)

Take $2$ from the top of the right hand side's numerator and move them to its denominator:
Left - Roman numerals $\frac{X}{XX}=\frac{10}{20}=0.5$
Right - Tally marks $\frac{||}{||||}=\frac24=0.5$


Answer post puzzle change (without fourth rule)

Easily done for equality, moving only $1$ match

1 move post puzzle change solution
Left - Roman Numerals $I\frac{X}{XX}=1\frac{10}{20}=1.5$
Right - Roman Numerals $\frac{III}{II}=\frac32=1.5$


Answer pre puzzle change (add matches, not rule 3 or 4)

Easily done for equality with $2$ more matches

2 match solution
Left - Roman Numerals $\frac{X}{XX}=\frac{10}{20}=0.5$
Right - Tally marks $\frac{|}{\frac{||||}{||}}=\frac1{\frac42}=\frac24=0.5$

...or for a true statement, we can do it with just $1$ match

strike the equals to a not equals $\frac{X}{XX}\neq\frac{||||}{||}\rightarrow 0.5\neq2$

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  • $\begingroup$ Sorry, changed it. Look at it $\endgroup$ – bleh Jul 16 '16 at 3:01
  • $\begingroup$ Updated to fit the changed puzzle. $\endgroup$ – Jonathan Allan Jul 16 '16 at 6:18
  • $\begingroup$ Agh, your answer is better than my intended answer. I'll accept it, but find the cleverest answer if you can. $\endgroup$ – bleh Jul 16 '16 at 12:45
  • $\begingroup$ I'll keep it at accepted, but I need to change the rules 1 more time :( $\endgroup$ – bleh Jul 16 '16 at 13:10
4
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Move

0

matchsticks to make the equation true:

The left side is in Suzhou numerals, reading 4/44. The right side is $\frac{1\left|1\right|}{11}$: 1 times the absolute value of 1, divided by 11. Both sides equal 1/11.

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3
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This seems a little too simple to be correct, but..

My guess is 2.

Method:

Move 2 matchsticks from IIII to the denominator, so it becomes 10/20 = 2/4.

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3
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I'll take a stab, not sure if this is what is being asked...

Answer:

1

Reason:

Move one match stick from the top of the second number to the bottom of the second number, changing the first vertical line into a V, 10/20 = 3/6

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  • $\begingroup$ Sorry changed it. Sorry for misconception $\endgroup$ – bleh Jul 16 '16 at 3:24
  • $\begingroup$ @Bleh No problem, updated my answer. Take a look and let me know if there is something missing. $\endgroup$ – Poolsharker Jul 16 '16 at 5:09
  • $\begingroup$ |/ Is not a v. Sorry $\endgroup$ – bleh Jul 16 '16 at 13:13
2
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Answer:

2

How?

X IIII
---=-----
XX I I

becomes

XI III
---=-----
XI III

by way of:

Moving one of the cross matches on the second X to the top (and straightening them out), and moving one of the 4 matches to the bottom.

Or, simply put...

11/11 = 3/3, or 1=1.

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  • $\begingroup$ Did you read the rules? $\endgroup$ – bleh Jul 16 '16 at 3:18
  • $\begingroup$ Which rule am I breaking? $\endgroup$ – Josh Jul 16 '16 at 3:20
  • $\begingroup$ Rule 2. 11/11 == integer $\endgroup$ – bleh Jul 16 '16 at 3:20
  • $\begingroup$ No, 11/11 is a fraction. An integer is a whole number that is not a fraction. Just because 11/11 becomes a whole number does not mean it is an integer. $\endgroup$ – Josh Jul 16 '16 at 3:21
  • $\begingroup$ No, 11/11 is an integer. What I mean, is that the 1st number not set of numerals, is not an onteger $\endgroup$ – bleh Jul 16 '16 at 3:22

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