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


The equal sigh need not be aligned.

  • 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

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 $\frac{X}{XX}\neq\frac{||||}{||}\rightarrow 0.5\neq2$

  • $\begingroup$ 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



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.


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

My guess is 2.


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


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




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

  • $\begingroup$ 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







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.

  • $\begingroup$ 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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