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I'm trying to solve this puzzle:

Add operators to make the following equation correct: 4 4 4 4 = 2. Give 3 ways to do so. You are allowed to use brackets if necessary, but no rearranging of numbers or moving the equal sign. You may only use the following math operators: +, -, ×, ÷.

I can think of one or two, but this question wants three ways to do so. Any help in this problem is appreciated.

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    $\begingroup$ This is so hard! I doubt whether there are even 3 ways to do so. $\endgroup$
    – user72139
    Commented Nov 4, 2020 at 6:37
  • $\begingroup$ Can we add operators between 1 and 0? $\endgroup$
    – Dmitry Kamenetsky
    Commented Nov 4, 2020 at 6:55
  • $\begingroup$ Guys, this problem is flawed. I typed it wrongly. It should be 4 4 4 4 = 2. I'm editing it now. $\endgroup$
    – Pilot
    Commented Nov 4, 2020 at 6:57
  • $\begingroup$ I knew there was something wrong... $\endgroup$
    – Dmitry Kamenetsky
    Commented Nov 4, 2020 at 7:04

1 Answer 1

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There are actually four ways to do it (the last one is a variation of the third):

$$4 \div 4 + 4 \div 4 = 2$$

$$4 - (4 + 4) \div 4 = 2$$

$$4 \times 4 \div (4 + 4) = 2$$

$$4 \div (4 + 4) \times 4 = 2$$

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