Puzzles/Arithmetical puzzles/Four 4s Equal.../Solution

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Solution to Puzzles/Arithmetical puzzles/Four 4s Equal...

1

\frac{4+4}{4+4}

2

\frac{4}{4}+\frac{4}{4}

3

\frac{4+4+4}{4}

4

\frac{4-4}{4}+4

5

\frac{4\times4+4}{4}

6

\frac{4+4}{4}+4

7

4+4-\frac{4}{4}

8

4+4+4-4 \,\!

9

4+4+\frac{4}{4}

10

4\times4-\frac{4!}{4}

11

4^2-4-\frac{4}{4}

12

4+4+\frac{4^2}{4}

13

4^2-4+\frac{4}{4}

14

4^2-\frac{4+4}{4}

15

4\times4-\frac{4}{4}

16

4\times4+4-4 \,\!

17

4\times4+\frac{4}{4}

18

4^2+\frac{4+4}{4}

19

4^2+4-\frac{4}{4}

20

4\times\left(4+\frac{4}{4}\right)

21

4^2+4+\frac{4}{4}

22

4!-\frac{4+4}{4}

23

4!-\frac{4^2}{4\times4}

24

4\times4+4+4 \,\!

25

4!+\frac{4^2}{4\times4}

26

4!+\frac{4+4}{4}

27

4!+4-\frac{4}{4}

28

4!+4+4-4 \,\!

29

4!+4+\frac{4}{4}

30

4!+\frac{4\times4!}{4^2}

31

4^2+4^2-\frac{4}{4}

32

4\times4+4\times4 \,\!

33

4^2+4^2+\frac{4}{4}

34

4!+4+\frac{4!}{4}

35

\left(\frac{4!}{4}\right)^2-\frac{4}{4}

36

\left(\frac{4!}{4}\right)^2+4-4

37

\left(\frac{4!}{4}\right)^2+\frac{4}{4}

38

4^2+4^2+\frac{4!}{4}

39

4!+4^2-\frac{4}{4}

40

4!+4^2+4-4 \,\!

41

4!+4^2+\frac{4}{4}

42

4!+4!-\frac{4!}{4}

43

44-\frac{4}{4}

  • This is the only solution that requires 4410

44

4!+4!-\frac{4^2}{4}

45

\left(\frac{4!+4}{4}\right)^2-4

46

4!+4^2+\frac{4!}{4}

47

4!+4!-\frac{4}{4}

48

4!+4!+4-4 \,\!

49

4!+4!+\frac{4}{4}

50

\frac{(4!-4)^2}{4+4}