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

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

1[edit]

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

2[edit]

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

3[edit]

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

4[edit]

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

5[edit]

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

6[edit]

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

7[edit]

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

8[edit]

4+4+4-4 \,\!

9[edit]

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

10[edit]

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

11[edit]

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

12[edit]

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

13[edit]

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

14[edit]

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

15[edit]

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

16[edit]

4\times4+4-4 \,\!

17[edit]

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

18[edit]

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

19[edit]

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

20[edit]

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

21[edit]

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

22[edit]

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

23[edit]

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

24[edit]

4\times4+4+4 \,\!

25[edit]

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

26[edit]

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

27[edit]

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

28[edit]

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

29[edit]

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

30[edit]

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

31[edit]

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

32[edit]

4\times4+4\times4 \,\!

33[edit]

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

34[edit]

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

35[edit]

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

36[edit]

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

37[edit]

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

38[edit]

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

39[edit]

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

40[edit]

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

41[edit]

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

42[edit]

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

43[edit]

44-\frac{4}{4}

  • This is the only solution that requires 4410

44[edit]

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

45[edit]

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

46[edit]

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

47[edit]

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

48[edit]

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

49[edit]

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

50[edit]

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