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

## 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

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