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

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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

$\frac{4\times 4+4}{4}$

6

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

7

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

8

$4+4+4-4$

9

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

10

$4\times 4-\frac{4!}{4}$

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

$4\times 4-\frac{4}{4}$

16

$4\times 4+4-4$

17

$4\times 4+\frac{4}{4}$

18

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

19

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

20

$4\times (4+\frac{4}{4})$

21

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

22

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

23

$4!-\frac{4^2}{4\times 4}$

24

$4\times 4+4+4$

25

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

26

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

27

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

28

$4!+4+4-4$

29

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

30

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

31

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

32

$4\times 4+4\times 4$

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

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