Directions: Using the digits from 1 to 9, at most once, make as many true statements as possible.

### Hint

How can thinking about improper fractions help support your thinking?

### Answer

1/2 of 68 = 34

6/3 of 27 = 54

6/3 of 27 = 54

Source: Rochelle Telfer

i dont know what i comment about but at first i was super confused but then i saw 34 plus 34 equals 68 same with the numbers below so you just multiply the number you equal by 2

6/3 of 27=54

6/3 of 27=54

1/2 of 68=34

6/3 of 27 =54

6/3 of 27 =54

4/2 x 18 = 36

1/4 of 8=2

1/2 of 68=34

1/4 of 8=2

Or

6/3 of 27 =54 4/2 x 18 = 36

1/2 of 16 is 8

1/8 of 56 is 7

1/3 of 6 is 2

1/2 Of 8 is 4

6/3 of 27=54

1/2 of 68=34

or

6/3 of 27=54

1/2 of 8 is 4

1/2 of 68 is 34

1/3 of 6 is 2

2/3 of 12 is 8

4/8=1/2

2/4=1/2

5/10=1/2

3/6=1/2

1/4 of 8 = 2

2/3 of 12 = 8

2/3 of 6 = 4

1/4 of 8= 2

1/2 of 6 = 3

1/2 of 8 = 4

9/6 of 18 =27

2/3 of 6= 4

1/2 of 68=34

6/3 of 27=54

why are they giving us the answer?

2/4 of 28=14

1\9 of 81=9

1/2 of 96= 48

1/2 of 43=21.5

½ of 6=3

4/2 of 7=14

1/2=88=44=1/2=22=1/2=11

1/2=22=11

1/2 of 30=15

1/9 of 91 = 9.91

1/4 of 100 is 25

1/3 of 9 is 3

1/2 of 68=34

3/4 of 250 =

6/3 of 27=54

8/10 of 250 = 200

8/10 of 250 = 200

4/8 of 64 is = 32

8/10 of 250 =200

1/2 of 72= 36

6/3 of 27=54

1/2 of 72=36

8/10 of 250=200

1/2 of 68 = 34

6/3 of 27 = 54

Careful about your answers. The equation we are answering has 2 blank digits after the OF and after the =, and 0 (zero) is NOT one of the allowed numbers we can use to complete the equation. Many of the solutions above contain 0’s or do not fill in all the blank boxes…..

1/2 of 72 is 36

2/1 of 34=68

1/2 of 61=30.5

1/2 of 76=38

1/2 of 86=43

1/2 of 96=48

There are 120 correct solutions for this problem. I have included them all here:

1/2*68=34

1/2*76=38

1/2*78=39

1/2*86=43

1/2*96=48

1/3*78=26

1/3*87=29

2/1*34=68

2/1*38=76

2/1*39=78

2/1*43=86

2/1*48=96

2/3*81=54

2/3*84=56

2/4*36=18

2/4*38=19

2/4*76=38

2/4*78=39

2/6*54=18

2/6*57=19

2/7*63=18

2/8*56=14

2/8*76=19

2/9*63=14

3/1*26=78

3/1*29=87

3/2*54=81

3/2*56=84

3/4*68=51

3/4*96=72

3/6*28=14

3/6*54=27

3/6*58=29

3/6*82=41

3/7*42=18

3/7*49=21

3/7*56=24

3/7*98=42

3/8*56=21

3/9*48=16

3/9*54=18

3/9*78=26

3/9*81=27

4/2*18=36

4/2*19=38

4/2*38=76

4/2*39=78

4/3*51=68

4/3*72=96

4/6*27=18

4/6*57=38

4/6*78=52

4/7*28=16

4/7*56=32

4/7*91=52

4/7*98=56

4/8*26=13

4/8*32=16

4/8*62=31

4/8*72=36

4/9*63=28

4/9*81=36

6/2*18=54

6/2*19=57

6/3*14=28

6/3*27=54

6/3*29=58

6/3*41=82

6/4*18=27

6/4*38=57

6/4*52=78

6/8*52=39

6/8*72=54

6/9*27=18

6/9*48=32

6/9*51=34

6/9*57=38

6/9*72=48

6/9*78=52

6/9*81=54

7/2*18=63

7/3*18=42

7/3*21=49

7/3*24=56

7/3*42=98

7/4*16=28

7/4*32=56

7/4*52=91

7/4*56=98

7/8*56=49

7/9*36=28

7/9*81=63

8/2*14=56

8/2*19=76

8/3*21=56

8/4*13=26

8/4*16=32

8/4*31=62

8/4*36=72

8/6*39=52

8/6*54=72

8/7*49=56

8/9*72=64

9/2*14=63

9/3*16=48

9/3*18=54

9/3*26=78

9/3*27=81

9/4*28=63

9/4*36=81

9/6*18=27

9/6*32=48

9/6*34=51

9/6*38=57

9/6*48=72

9/6*52=78

9/6*54=81

9/7*28=36

9/7*63=81

9/8*64=72

1/2 of 68 = 34

6/3 of 27 = 54

1/2 of 68 = 34

1/2 of 42 = 21

3/7 of 21 = 9

6/3 of 27=54

2/4 of 36 =18

1-2 of 68=34

6-3 of 27=54

7/9 of 81=63

Gabrielle St Oran’s College

My fellow genius classmate