Fraction of an Amount

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

Source: Rochelle Telfer

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Greatest Common Factor

Directions: Using the digits 0 to 9 at most one time each, place a digit …

55 comments

  1. 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

  2. 6/3 of 27=54

  3. 1/2 of 68=34

    6/3 of 27 =54

  4. 4/2 x 18 = 36

  5. 1/2 of 68=34
    1/4 of 8=2
    Or
    6/3 of 27 =54 4/2 x 18 = 36

  6. 1/2 of 16 is 8
    1/8 of 56 is 7

  7. 1/3 of 6 is 2
    1/2 Of 8 is 4

  8. Elizabeth Bender

    1/2 of 8 is 4
    1/2 of 68 is 34
    1/3 of 6 is 2
    2/3 of 12 is 8

  9. 4/8=1/2
    2/4=1/2
    5/10=1/2
    3/6=1/2

  10. 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

  11. Harrison McMurray

    9/6 of 18 =27

  12. 2/3 of 6= 4

  13. 1/2 of 68=34
    6/3 of 27=54

  14. why are they giving us the answer?

  15. 2/4 of 28=14

  16. Corben Gullinese

    1\9 of 81=9

  17. 1/2 of 96= 48

  18. 1/2 of 43=21.5

  19. ½ of 6=3
    4/2 of 7=14

  20. 1/2=88=44=1/2=22=1/2=11

  21. 1/2 of 30=15

  22. 1/9 of 91 = 9.91

  23. 1/4 of 100 is 25
    1/3 of 9 is 3

  24. 1/2 of 68=34

  25. 3/4 of 250 =

  26. 8/10 of 250 = 200

  27. 4/8 of 64 is = 32

  28. Claire Powell (;

    1/2 of 72= 36

  29. Danitza Marenco

    8/10 of 250=200

  30. 1/2 of 68 = 34
    6/3 of 27 = 54

  31. 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…..

  32. 1/2 of 72 is 36

  33. 2/1 of 34=68

  34. 1/2 of 61=30.5
    1/2 of 76=38
    1/2 of 86=43
    1/2 of 96=48

  35. 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

  36. 1/2 of 68 = 34
    6/3 of 27 = 54

  37. 1/2 of 68 = 34

  38. 1/2 of 42 = 21
    3/7 of 21 = 9

  39. 6/3 of 27=54

  40. 2/4 of 36 =18

  41. 1-2 of 68=34
    6-3 of 27=54

  42. 7/9 of 81=63
    Gabrielle St Oran’s College
    My fellow genius classmate

  43. Rudolf Österreicher

    I can confirm Bang’s answer. Also, if we allowed the digit 0, there’d be 252 solutions. Adding onto Bang’s answer, if we only allow proper fractions, there are exactly 60 solutions:

    1/2 of 68 = 34
    1/2 of 76 = 38
    1/2 of 78 = 39
    1/2 of 86 = 43
    1/2 of 96 = 48
    1/3 of 78 = 26
    1/3 of 87 = 29
    2/3 of 81 = 54
    2/3 of 84 = 56
    2/4 of 36 = 18
    2/4 of 38 = 19
    2/4 of 76 = 38
    2/4 of 78 = 39
    2/6 of 54 = 18
    2/6 of 57 = 19
    2/7 of 63 = 18
    2/8 of 56 = 14
    2/8 of 76 = 19
    2/9 of 63 = 14
    3/4 of 68 = 51
    3/4 of 96 = 72
    3/6 of 28 = 14
    3/6 of 54 = 27
    3/6 of 58 = 29
    3/6 of 82 = 41
    3/7 of 42 = 18
    3/7 of 49 = 21
    3/7 of 56 = 24
    3/7 of 98 = 42
    3/8 of 56 = 21
    3/9 of 48 = 16
    3/9 of 54 = 18
    3/9 of 78 = 26
    3/9 of 81 = 27
    4/6 of 27 = 18
    4/6 of 57 = 38
    4/6 of 78 = 52
    4/7 of 28 = 16
    4/7 of 56 = 32
    4/7 of 91 = 52
    4/7 of 98 = 56
    4/8 of 26 = 13
    4/8 of 32 = 16
    4/8 of 62 = 31
    4/8 of 72 = 36
    4/9 of 63 = 28
    4/9 of 81 = 36
    6/8 of 52 = 39
    6/8 of 72 = 54
    6/9 of 27 = 18
    6/9 of 48 = 32
    6/9 of 51 = 34
    6/9 of 57 = 38
    6/9 of 72 = 48
    6/9 of 78 = 52
    6/9 of 81 = 54
    7/8 of 56 = 49
    7/9 of 36 = 28
    7/9 of 81 = 63
    8/9 of 72 = 64

  44. Could an extension be to change this up to ask;

    _ /_ OFF _ _ = _ _

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