Directions: Using the digits 1 through 9 only one time each, fill in the blanks to make true statements. For the fraction less than 1/2, try to make the greatest number possible. For the fraction greater than 1/2, try to make the least number possible.

### Hint

### Hint

### Answer

### Answer

Number of Unique Solutions: 394

1: 1/3 < 1/2 and 4/6 > 1/2 and 29/58 = 1/2

2: 1/3 < 1/2 and 4/7 > 1/2 and 28/56 = 1/2

3: 1/3 < 1/2 and 4/7 > 1/2 and 29/58 = 1/2

4: 1/3 < 1/2 and 5/2 > 1/2 and 48/96 = 1/2

5: 1/3 < 1/2 and 5/7 > 1/2 and 46/92 = 1/2

6: 1/3 < 1/2 and 5/7 > 1/2 and 48/96 = 1/2

7: 1/3 < 1/2 and 5/8 > 1/2 and 46/92 = 1/2

8: 1/3 < 1/2 and 6/4 > 1/2 and 29/58 = 1/2

9: 1/3 < 1/2 and 6/7 > 1/2 and 29/58 = 1/2

10: 1/3 < 1/2 and 6/8 > 1/2 and 27/54 = 1/2

11: 1/3 < 1/2 and 6/9 > 1/2 and 27/54 = 1/2

12: 1/3 < 1/2 and 7/2 > 1/2 and 48/96 = 1/2

13: 1/3 < 1/2 and 7/4 > 1/2 and 28/56 = 1/2

14: 1/3 < 1/2 and 7/4 > 1/2 and 29/58 = 1/2

15: 1/3 < 1/2 and 7/5 > 1/2 and 46/92 = 1/2

16: 1/3 < 1/2 and 7/5 > 1/2 and 48/96 = 1/2

17: 1/3 < 1/2 and 7/6 > 1/2 and 29/58 = 1/2

18: 1/3 < 1/2 and 7/8 > 1/2 and 46/92 = 1/2

19: 1/3 < 1/2 and 7/9 > 1/2 and 28/56 = 1/2

20: 1/3 < 1/2 and 8/5 > 1/2 and 46/92 = 1/2

21: 1/3 < 1/2 and 8/6 > 1/2 and 27/54 = 1/2

22: 1/3 < 1/2 and 8/7 > 1/2 and 46/92 = 1/2

23: 1/3 < 1/2 and 8/9 > 1/2 and 27/54 = 1/2

24: 1/3 < 1/2 and 9/4 > 1/2 and 28/56 = 1/2

25: 1/3 < 1/2 and 9/6 > 1/2 and 27/54 = 1/2

26: 1/3 < 1/2 and 9/7 > 1/2 and 28/56 = 1/2

27: 1/3 < 1/2 and 9/8 > 1/2 and 27/54 = 1/2

28: 1/4 < 1/2 and 5/2 > 1/2 and 38/76 = 1/2

29: 1/4 < 1/2 and 5/2 > 1/2 and 39/78 = 1/2

30: 1/4 < 1/2 and 5/6 > 1/2 and 39/78 = 1/2

31: 1/4 < 1/2 and 5/8 > 1/2 and 36/72 = 1/2

32: 1/4 < 1/2 and 5/9 > 1/2 and 36/72 = 1/2

33: 1/4 < 1/2 and 5/9 > 1/2 and 38/76 = 1/2

34: 1/4 < 1/2 and 6/2 > 1/2 and 39/78 = 1/2

35: 1/4 < 1/2 and 6/3 > 1/2 and 29/58 = 1/2

36: 1/4 < 1/2 and 6/5 > 1/2 and 39/78 = 1/2

37: 1/4 < 1/2 and 6/7 > 1/2 and 29/58 = 1/2

38: 1/4 < 1/2 and 7/3 > 1/2 and 28/56 = 1/2

39: 1/4 < 1/2 and 7/3 > 1/2 and 29/58 = 1/2

40: 1/4 < 1/2 and 7/6 > 1/2 and 29/58 = 1/2

41: 1/4 < 1/2 and 7/9 > 1/2 and 28/56 = 1/2

42: 1/4 < 1/2 and 8/5 > 1/2 and 36/72 = 1/2

43: 1/4 < 1/2 and 8/9 > 1/2 and 36/72 = 1/2

44: 1/4 < 1/2 and 9/2 > 1/2 and 38/76 = 1/2

45: 1/4 < 1/2 and 9/3 > 1/2 and 28/56 = 1/2

46: 1/4 < 1/2 and 9/5 > 1/2 and 36/72 = 1/2

47: 1/4 < 1/2 and 9/5 > 1/2 and 38/76 = 1/2

48: 1/4 < 1/2 and 9/7 > 1/2 and 28/56 = 1/2

49: 1/4 < 1/2 and 9/8 > 1/2 and 36/72 = 1/2

50: 1/5 < 1/2 and 2/3 > 1/2 and 48/96 = 1/2

51: 1/5 < 1/2 and 3/2 > 1/2 and 48/96 = 1/2

52: 1/5 < 1/2 and 4/2 > 1/2 and 38/76 = 1/2

53: 1/5 < 1/2 and 4/2 > 1/2 and 39/78 = 1/2

54: 1/5 < 1/2 and 4/6 > 1/2 and 39/78 = 1/2

55: 1/5 < 1/2 and 6/2 > 1/2 and 39/78 = 1/2

56: 1/5 < 1/2 and 6/4 > 1/2 and 39/78 = 1/2

57: 1/5 < 1/2 and 7/2 > 1/2 and 34/68 = 1/2

58: 1/5 < 1/2 and 7/2 > 1/2 and 43/86 = 1/2

59: 1/5 < 1/2 and 7/2 > 1/2 and 48/96 = 1/2

60: 1/5 < 1/2 and 7/3 > 1/2 and 46/92 = 1/2

61: 1/5 < 1/2 and 7/3 > 1/2 and 48/96 = 1/2

62: 1/5 < 1/2 and 7/8 > 1/2 and 23/46 = 1/2

63: 1/5 < 1/2 and 7/8 > 1/2 and 32/64 = 1/2

64: 1/5 < 1/2 and 7/8 > 1/2 and 46/92 = 1/2

65: 1/5 < 1/2 and 7/9 > 1/2 and 23/46 = 1/2

66: 1/5 < 1/2 and 7/9 > 1/2 and 32/64 = 1/2

67: 1/5 < 1/2 and 7/9 > 1/2 and 34/68 = 1/2

68: 1/5 < 1/2 and 7/9 > 1/2 and 43/86 = 1/2

69: 1/5 < 1/2 and 8/3 > 1/2 and 46/92 = 1/2

70: 1/5 < 1/2 and 8/4 > 1/2 and 36/72 = 1/2

71: 1/5 < 1/2 and 8/7 > 1/2 and 23/46 = 1/2

72: 1/5 < 1/2 and 8/7 > 1/2 and 32/64 = 1/2

73: 1/5 < 1/2 and 8/7 > 1/2 and 46/92 = 1/2

74: 1/5 < 1/2 and 8/9 > 1/2 and 23/46 = 1/2

75: 1/5 < 1/2 and 8/9 > 1/2 and 32/64 = 1/2

76: 1/5 < 1/2 and 8/9 > 1/2 and 36/72 = 1/2

77: 1/5 < 1/2 and 9/2 > 1/2 and 34/68 = 1/2

78: 1/5 < 1/2 and 9/2 > 1/2 and 38/76 = 1/2

79: 1/5 < 1/2 and 9/2 > 1/2 and 43/86 = 1/2

80: 1/5 < 1/2 and 9/4 > 1/2 and 36/72 = 1/2

81: 1/5 < 1/2 and 9/4 > 1/2 and 38/76 = 1/2

82: 1/5 < 1/2 and 9/7 > 1/2 and 23/46 = 1/2

83: 1/5 < 1/2 and 9/7 > 1/2 and 32/64 = 1/2

84: 1/5 < 1/2 and 9/7 > 1/2 and 34/68 = 1/2

85: 1/5 < 1/2 and 9/7 > 1/2 and 43/86 = 1/2

86: 1/5 < 1/2 and 9/8 > 1/2 and 23/46 = 1/2

87: 1/5 < 1/2 and 9/8 > 1/2 and 32/64 = 1/2

88: 1/5 < 1/2 and 9/8 > 1/2 and 36/72 = 1/2

89: 1/6 < 1/2 and 3/4 > 1/2 and 29/58 = 1/2

90: 1/6 < 1/2 and 4/2 > 1/2 and 39/78 = 1/2

91: 1/6 < 1/2 and 4/3 > 1/2 and 29/58 = 1/2

92: 1/6 < 1/2 and 4/5 > 1/2 and 39/78 = 1/2

93: 1/6 < 1/2 and 4/7 > 1/2 and 29/58 = 1/2

94: 1/6 < 1/2 and 5/2 > 1/2 and 39/78 = 1/2

95: 1/6 < 1/2 and 5/4 > 1/2 and 39/78 = 1/2

96: 1/6 < 1/2 and 7/3 > 1/2 and 29/58 = 1/2

97: 1/6 < 1/2 and 7/4 > 1/2 and 29/58 = 1/2

98: 1/6 < 1/2 and 8/3 > 1/2 and 27/54 = 1/2

99: 1/6 < 1/2 and 8/9 > 1/2 and 27/54 = 1/2

100: 1/6 < 1/2 and 9/3 > 1/2 and 27/54 = 1/2

101: 1/6 < 1/2 and 9/8 > 1/2 and 27/54 = 1/2

102: 1/7 < 1/2 and 2/3 > 1/2 and 48/96 = 1/2

103: 1/7 < 1/2 and 3/2 > 1/2 and 48/96 = 1/2

104: 1/7 < 1/2 and 3/4 > 1/2 and 28/56 = 1/2

105: 1/7 < 1/2 and 3/4 > 1/2 and 29/58 = 1/2

106: 1/7 < 1/2 and 3/5 > 1/2 and 46/92 = 1/2

107: 1/7 < 1/2 and 3/5 > 1/2 and 48/96 = 1/2

108: 1/7 < 1/2 and 4/3 > 1/2 and 28/56 = 1/2

109: 1/7 < 1/2 and 4/3 > 1/2 and 29/58 = 1/2

110: 1/7 < 1/2 and 4/6 > 1/2 and 29/58 = 1/2

111: 1/7 < 1/2 and 5/2 > 1/2 and 34/68 = 1/2

112: 1/7 < 1/2 and 5/2 > 1/2 and 43/86 = 1/2

113: 1/7 < 1/2 and 5/2 > 1/2 and 48/96 = 1/2

114: 1/7 < 1/2 and 5/3 > 1/2 and 46/92 = 1/2

115: 1/7 < 1/2 and 5/3 > 1/2 and 48/96 = 1/2

116: 1/7 < 1/2 and 5/8 > 1/2 and 23/46 = 1/2

117: 1/7 < 1/2 and 5/8 > 1/2 and 32/64 = 1/2

118: 1/7 < 1/2 and 5/8 > 1/2 and 46/92 = 1/2

119: 1/7 < 1/2 and 5/9 > 1/2 and 23/46 = 1/2

120: 1/7 < 1/2 and 5/9 > 1/2 and 32/64 = 1/2

121: 1/7 < 1/2 and 5/9 > 1/2 and 34/68 = 1/2

122: 1/7 < 1/2 and 5/9 > 1/2 and 43/86 = 1/2

123: 1/7 < 1/2 and 6/3 > 1/2 and 29/58 = 1/2

124: 1/7 < 1/2 and 6/4 > 1/2 and 29/58 = 1/2

125: 1/7 < 1/2 and 8/3 > 1/2 and 46/92 = 1/2

126: 1/7 < 1/2 and 8/5 > 1/2 and 23/46 = 1/2

127: 1/7 < 1/2 and 8/5 > 1/2 and 32/64 = 1/2

128: 1/7 < 1/2 and 8/5 > 1/2 and 46/92 = 1/2

129: 1/7 < 1/2 and 8/9 > 1/2 and 23/46 = 1/2

130: 1/7 < 1/2 and 8/9 > 1/2 and 32/64 = 1/2

131: 1/7 < 1/2 and 9/2 > 1/2 and 34/68 = 1/2

132: 1/7 < 1/2 and 9/2 > 1/2 and 43/86 = 1/2

133: 1/7 < 1/2 and 9/3 > 1/2 and 28/56 = 1/2

134: 1/7 < 1/2 and 9/4 > 1/2 and 28/56 = 1/2

135: 1/7 < 1/2 and 9/5 > 1/2 and 23/46 = 1/2

136: 1/7 < 1/2 and 9/5 > 1/2 and 32/64 = 1/2

137: 1/7 < 1/2 and 9/5 > 1/2 and 34/68 = 1/2

138: 1/7 < 1/2 and 9/5 > 1/2 and 43/86 = 1/2

139: 1/7 < 1/2 and 9/8 > 1/2 and 23/46 = 1/2

140: 1/7 < 1/2 and 9/8 > 1/2 and 32/64 = 1/2

141: 1/8 < 1/2 and 3/5 > 1/2 and 46/92 = 1/2

142: 1/8 < 1/2 and 4/5 > 1/2 and 36/72 = 1/2

143: 1/8 < 1/2 and 5/3 > 1/2 and 46/92 = 1/2

144: 1/8 < 1/2 and 5/4 > 1/2 and 36/72 = 1/2

145: 1/8 < 1/2 and 5/7 > 1/2 and 23/46 = 1/2

146: 1/8 < 1/2 and 5/7 > 1/2 and 32/64 = 1/2

147: 1/8 < 1/2 and 5/7 > 1/2 and 46/92 = 1/2

148: 1/8 < 1/2 and 5/9 > 1/2 and 23/46 = 1/2

149: 1/8 < 1/2 and 5/9 > 1/2 and 32/64 = 1/2

150: 1/8 < 1/2 and 5/9 > 1/2 and 36/72 = 1/2

151: 1/8 < 1/2 and 6/3 > 1/2 and 27/54 = 1/2

152: 1/8 < 1/2 and 6/9 > 1/2 and 27/54 = 1/2

153: 1/8 < 1/2 and 7/3 > 1/2 and 46/92 = 1/2

154: 1/8 < 1/2 and 7/5 > 1/2 and 23/46 = 1/2

155: 1/8 < 1/2 and 7/5 > 1/2 and 32/64 = 1/2

156: 1/8 < 1/2 and 7/5 > 1/2 and 46/92 = 1/2

157: 1/8 < 1/2 and 7/9 > 1/2 and 23/46 = 1/2

158: 1/8 < 1/2 and 7/9 > 1/2 and 32/64 = 1/2

159: 1/8 < 1/2 and 9/3 > 1/2 and 27/54 = 1/2

160: 1/8 < 1/2 and 9/4 > 1/2 and 36/72 = 1/2

161: 1/8 < 1/2 and 9/5 > 1/2 and 23/46 = 1/2

162: 1/8 < 1/2 and 9/5 > 1/2 and 32/64 = 1/2

163: 1/8 < 1/2 and 9/5 > 1/2 and 36/72 = 1/2

164: 1/8 < 1/2 and 9/6 > 1/2 and 27/54 = 1/2

165: 1/8 < 1/2 and 9/7 > 1/2 and 23/46 = 1/2

166: 1/8 < 1/2 and 9/7 > 1/2 and 32/64 = 1/2

167: 1/9 < 1/2 and 3/4 > 1/2 and 28/56 = 1/2

168: 1/9 < 1/2 and 4/2 > 1/2 and 38/76 = 1/2

169: 1/9 < 1/2 and 4/3 > 1/2 and 28/56 = 1/2

170: 1/9 < 1/2 and 4/5 > 1/2 and 36/72 = 1/2

171: 1/9 < 1/2 and 4/5 > 1/2 and 38/76 = 1/2

172: 1/9 < 1/2 and 4/7 > 1/2 and 28/56 = 1/2

173: 1/9 < 1/2 and 5/2 > 1/2 and 34/68 = 1/2

174: 1/9 < 1/2 and 5/2 > 1/2 and 38/76 = 1/2

175: 1/9 < 1/2 and 5/2 > 1/2 and 43/86 = 1/2

176: 1/9 < 1/2 and 5/4 > 1/2 and 36/72 = 1/2

177: 1/9 < 1/2 and 5/4 > 1/2 and 38/76 = 1/2

178: 1/9 < 1/2 and 5/7 > 1/2 and 23/46 = 1/2

179: 1/9 < 1/2 and 5/7 > 1/2 and 32/64 = 1/2

180: 1/9 < 1/2 and 5/7 > 1/2 and 34/68 = 1/2

181: 1/9 < 1/2 and 5/7 > 1/2 and 43/86 = 1/2

182: 1/9 < 1/2 and 5/8 > 1/2 and 23/46 = 1/2

183: 1/9 < 1/2 and 5/8 > 1/2 and 32/64 = 1/2

184: 1/9 < 1/2 and 5/8 > 1/2 and 36/72 = 1/2

185: 1/9 < 1/2 and 6/3 > 1/2 and 27/54 = 1/2

186: 1/9 < 1/2 and 6/8 > 1/2 and 27/54 = 1/2

187: 1/9 < 1/2 and 7/2 > 1/2 and 34/68 = 1/2

188: 1/9 < 1/2 and 7/2 > 1/2 and 43/86 = 1/2

189: 1/9 < 1/2 and 7/3 > 1/2 and 28/56 = 1/2

190: 1/9 < 1/2 and 7/4 > 1/2 and 28/56 = 1/2

191: 1/9 < 1/2 and 7/5 > 1/2 and 23/46 = 1/2

192: 1/9 < 1/2 and 7/5 > 1/2 and 32/64 = 1/2

193: 1/9 < 1/2 and 7/5 > 1/2 and 34/68 = 1/2

194: 1/9 < 1/2 and 7/5 > 1/2 and 43/86 = 1/2

195: 1/9 < 1/2 and 7/8 > 1/2 and 23/46 = 1/2

196: 1/9 < 1/2 and 7/8 > 1/2 and 32/64 = 1/2

197: 1/9 < 1/2 and 8/3 > 1/2 and 27/54 = 1/2

198: 1/9 < 1/2 and 8/4 > 1/2 and 36/72 = 1/2

199: 1/9 < 1/2 and 8/5 > 1/2 and 23/46 = 1/2

200: 1/9 < 1/2 and 8/5 > 1/2 and 32/64 = 1/2

201: 1/9 < 1/2 and 8/5 > 1/2 and 36/72 = 1/2

202: 1/9 < 1/2 and 8/6 > 1/2 and 27/54 = 1/2

203: 1/9 < 1/2 and 8/7 > 1/2 and 23/46 = 1/2

204: 1/9 < 1/2 and 8/7 > 1/2 and 32/64 = 1/2

205: 2/5 < 1/2 and 3/1 > 1/2 and 48/96 = 1/2

206: 2/5 < 1/2 and 4/1 > 1/2 and 38/76 = 1/2

207: 2/5 < 1/2 and 4/1 > 1/2 and 39/78 = 1/2

208: 2/5 < 1/2 and 4/6 > 1/2 and 19/38 = 1/2

209: 2/5 < 1/2 and 4/6 > 1/2 and 39/78 = 1/2

210: 2/5 < 1/2 and 4/7 > 1/2 and 18/36 = 1/2

211: 2/5 < 1/2 and 4/7 > 1/2 and 19/38 = 1/2

212: 2/5 < 1/2 and 6/1 > 1/2 and 39/78 = 1/2

213: 2/5 < 1/2 and 6/4 > 1/2 and 19/38 = 1/2

214: 2/5 < 1/2 and 6/4 > 1/2 and 39/78 = 1/2

215: 2/5 < 1/2 and 6/7 > 1/2 and 19/38 = 1/2

216: 2/5 < 1/2 and 6/8 > 1/2 and 17/34 = 1/2

217: 2/5 < 1/2 and 6/9 > 1/2 and 17/34 = 1/2

218: 2/5 < 1/2 and 7/1 > 1/2 and 34/68 = 1/2

219: 2/5 < 1/2 and 7/1 > 1/2 and 43/86 = 1/2

220: 2/5 < 1/2 and 7/1 > 1/2 and 48/96 = 1/2

221: 2/5 < 1/2 and 7/3 > 1/2 and 48/96 = 1/2

222: 2/5 < 1/2 and 7/4 > 1/2 and 18/36 = 1/2

223: 2/5 < 1/2 and 7/4 > 1/2 and 19/38 = 1/2

224: 2/5 < 1/2 and 7/6 > 1/2 and 19/38 = 1/2

225: 2/5 < 1/2 and 7/9 > 1/2 and 18/36 = 1/2

226: 2/5 < 1/2 and 7/9 > 1/2 and 34/68 = 1/2

227: 2/5 < 1/2 and 7/9 > 1/2 and 43/86 = 1/2

228: 2/5 < 1/2 and 8/6 > 1/2 and 17/34 = 1/2

229: 2/5 < 1/2 and 8/9 > 1/2 and 17/34 = 1/2

230: 2/5 < 1/2 and 9/1 > 1/2 and 34/68 = 1/2

231: 2/5 < 1/2 and 9/1 > 1/2 and 38/76 = 1/2

232: 2/5 < 1/2 and 9/1 > 1/2 and 43/86 = 1/2

233: 2/5 < 1/2 and 9/4 > 1/2 and 18/36 = 1/2

234: 2/5 < 1/2 and 9/4 > 1/2 and 38/76 = 1/2

235: 2/5 < 1/2 and 9/6 > 1/2 and 17/34 = 1/2

236: 2/5 < 1/2 and 9/7 > 1/2 and 18/36 = 1/2

237: 2/5 < 1/2 and 9/7 > 1/2 and 34/68 = 1/2

238: 2/5 < 1/2 and 9/7 > 1/2 and 43/86 = 1/2

239: 2/5 < 1/2 and 9/8 > 1/2 and 17/34 = 1/2

240: 2/6 < 1/2 and 4/1 > 1/2 and 39/78 = 1/2

241: 2/6 < 1/2 and 4/5 > 1/2 and 19/38 = 1/2

242: 2/6 < 1/2 and 4/5 > 1/2 and 39/78 = 1/2

243: 2/6 < 1/2 and 4/7 > 1/2 and 19/38 = 1/2

244: 2/6 < 1/2 and 5/1 > 1/2 and 39/78 = 1/2

245: 2/6 < 1/2 and 5/4 > 1/2 and 19/38 = 1/2

246: 2/6 < 1/2 and 5/4 > 1/2 and 39/78 = 1/2

247: 2/6 < 1/2 and 5/7 > 1/2 and 19/38 = 1/2

248: 2/6 < 1/2 and 5/8 > 1/2 and 17/34 = 1/2

249: 2/6 < 1/2 and 5/9 > 1/2 and 17/34 = 1/2

250: 2/6 < 1/2 and 7/4 > 1/2 and 19/38 = 1/2

251: 2/6 < 1/2 and 7/5 > 1/2 and 19/38 = 1/2

252: 2/6 < 1/2 and 8/5 > 1/2 and 17/34 = 1/2

253: 2/6 < 1/2 and 8/9 > 1/2 and 17/34 = 1/2

254: 2/6 < 1/2 and 9/5 > 1/2 and 17/34 = 1/2

255: 2/6 < 1/2 and 9/8 > 1/2 and 17/34 = 1/2

256: 2/7 < 1/2 and 3/1 > 1/2 and 48/96 = 1/2

257: 2/7 < 1/2 and 3/5 > 1/2 and 48/96 = 1/2

258: 2/7 < 1/2 and 4/5 > 1/2 and 18/36 = 1/2

259: 2/7 < 1/2 and 4/5 > 1/2 and 19/38 = 1/2

260: 2/7 < 1/2 and 4/6 > 1/2 and 19/38 = 1/2

261: 2/7 < 1/2 and 5/1 > 1/2 and 34/68 = 1/2

262: 2/7 < 1/2 and 5/1 > 1/2 and 43/86 = 1/2

263: 2/7 < 1/2 and 5/1 > 1/2 and 48/96 = 1/2

264: 2/7 < 1/2 and 5/3 > 1/2 and 48/96 = 1/2

265: 2/7 < 1/2 and 5/4 > 1/2 and 18/36 = 1/2

266: 2/7 < 1/2 and 5/4 > 1/2 and 19/38 = 1/2

267: 2/7 < 1/2 and 5/6 > 1/2 and 19/38 = 1/2

268: 2/7 < 1/2 and 5/9 > 1/2 and 18/36 = 1/2

269: 2/7 < 1/2 and 5/9 > 1/2 and 34/68 = 1/2

270: 2/7 < 1/2 and 5/9 > 1/2 and 43/86 = 1/2

271: 2/7 < 1/2 and 6/4 > 1/2 and 19/38 = 1/2

272: 2/7 < 1/2 and 6/5 > 1/2 and 19/38 = 1/2

273: 2/7 < 1/2 and 9/1 > 1/2 and 34/68 = 1/2

274: 2/7 < 1/2 and 9/1 > 1/2 and 43/86 = 1/2

275: 2/7 < 1/2 and 9/4 > 1/2 and 18/36 = 1/2

276: 2/7 < 1/2 and 9/5 > 1/2 and 18/36 = 1/2

277: 2/7 < 1/2 and 9/5 > 1/2 and 34/68 = 1/2

278: 2/7 < 1/2 and 9/5 > 1/2 and 43/86 = 1/2

279: 2/8 < 1/2 and 5/6 > 1/2 and 17/34 = 1/2

280: 2/8 < 1/2 and 5/9 > 1/2 and 17/34 = 1/2

281: 2/8 < 1/2 and 6/5 > 1/2 and 17/34 = 1/2

282: 2/8 < 1/2 and 6/9 > 1/2 and 17/34 = 1/2

283: 2/8 < 1/2 and 9/5 > 1/2 and 17/34 = 1/2

284: 2/8 < 1/2 and 9/6 > 1/2 and 17/34 = 1/2

285: 2/9 < 1/2 and 4/1 > 1/2 and 38/76 = 1/2

286: 2/9 < 1/2 and 4/5 > 1/2 and 18/36 = 1/2

287: 2/9 < 1/2 and 4/5 > 1/2 and 38/76 = 1/2

288: 2/9 < 1/2 and 4/7 > 1/2 and 18/36 = 1/2

289: 2/9 < 1/2 and 5/1 > 1/2 and 34/68 = 1/2

290: 2/9 < 1/2 and 5/1 > 1/2 and 38/76 = 1/2

291: 2/9 < 1/2 and 5/1 > 1/2 and 43/86 = 1/2

292: 2/9 < 1/2 and 5/4 > 1/2 and 18/36 = 1/2

293: 2/9 < 1/2 and 5/4 > 1/2 and 38/76 = 1/2

294: 2/9 < 1/2 and 5/6 > 1/2 and 17/34 = 1/2

295: 2/9 < 1/2 and 5/7 > 1/2 and 18/36 = 1/2

296: 2/9 < 1/2 and 5/7 > 1/2 and 34/68 = 1/2

297: 2/9 < 1/2 and 5/7 > 1/2 and 43/86 = 1/2

298: 2/9 < 1/2 and 5/8 > 1/2 and 17/34 = 1/2

299: 2/9 < 1/2 and 6/5 > 1/2 and 17/34 = 1/2

300: 2/9 < 1/2 and 6/8 > 1/2 and 17/34 = 1/2

301: 2/9 < 1/2 and 7/1 > 1/2 and 34/68 = 1/2

302: 2/9 < 1/2 and 7/1 > 1/2 and 43/86 = 1/2

303: 2/9 < 1/2 and 7/4 > 1/2 and 18/36 = 1/2

304: 2/9 < 1/2 and 7/5 > 1/2 and 18/36 = 1/2

305: 2/9 < 1/2 and 7/5 > 1/2 and 34/68 = 1/2

306: 2/9 < 1/2 and 7/5 > 1/2 and 43/86 = 1/2

307: 2/9 < 1/2 and 8/5 > 1/2 and 17/34 = 1/2

308: 2/9 < 1/2 and 8/6 > 1/2 and 17/34 = 1/2

309: 3/7 < 1/2 and 2/1 > 1/2 and 48/96 = 1/2

310: 3/7 < 1/2 and 4/1 > 1/2 and 28/56 = 1/2

311: 3/7 < 1/2 and 4/1 > 1/2 and 29/58 = 1/2

312: 3/7 < 1/2 and 4/6 > 1/2 and 29/58 = 1/2

313: 3/7 < 1/2 and 5/1 > 1/2 and 46/92 = 1/2

314: 3/7 < 1/2 and 5/1 > 1/2 and 48/96 = 1/2

315: 3/7 < 1/2 and 5/2 > 1/2 and 48/96 = 1/2

316: 3/7 < 1/2 and 5/6 > 1/2 and 14/28 = 1/2

317: 3/7 < 1/2 and 5/6 > 1/2 and 41/82 = 1/2

318: 3/7 < 1/2 and 5/8 > 1/2 and 46/92 = 1/2

319: 3/7 < 1/2 and 5/9 > 1/2 and 14/28 = 1/2

320: 3/7 < 1/2 and 5/9 > 1/2 and 41/82 = 1/2

321: 3/7 < 1/2 and 6/1 > 1/2 and 29/58 = 1/2

322: 3/7 < 1/2 and 6/4 > 1/2 and 29/58 = 1/2

323: 3/7 < 1/2 and 6/5 > 1/2 and 14/28 = 1/2

324: 3/7 < 1/2 and 6/5 > 1/2 and 41/82 = 1/2

325: 3/7 < 1/2 and 6/9 > 1/2 and 14/28 = 1/2

326: 3/7 < 1/2 and 6/9 > 1/2 and 41/82 = 1/2

327: 3/7 < 1/2 and 8/1 > 1/2 and 46/92 = 1/2

328: 3/7 < 1/2 and 8/5 > 1/2 and 46/92 = 1/2

329: 3/7 < 1/2 and 9/1 > 1/2 and 28/56 = 1/2

330: 3/7 < 1/2 and 9/4 > 1/2 and 28/56 = 1/2

331: 3/7 < 1/2 and 9/5 > 1/2 and 14/28 = 1/2

332: 3/7 < 1/2 and 9/5 > 1/2 and 41/82 = 1/2

333: 3/7 < 1/2 and 9/6 > 1/2 and 14/28 = 1/2

334: 3/7 < 1/2 and 9/6 > 1/2 and 41/82 = 1/2

335: 3/8 < 1/2 and 5/1 > 1/2 and 46/92 = 1/2

336: 3/8 < 1/2 and 5/7 > 1/2 and 46/92 = 1/2

337: 3/8 < 1/2 and 6/1 > 1/2 and 27/54 = 1/2

338: 3/8 < 1/2 and 6/9 > 1/2 and 27/54 = 1/2

339: 3/8 < 1/2 and 7/1 > 1/2 and 46/92 = 1/2

340: 3/8 < 1/2 and 7/5 > 1/2 and 46/92 = 1/2

341: 3/8 < 1/2 and 9/1 > 1/2 and 27/54 = 1/2

342: 3/8 < 1/2 and 9/6 > 1/2 and 27/54 = 1/2

343: 3/9 < 1/2 and 4/1 > 1/2 and 28/56 = 1/2

344: 3/9 < 1/2 and 4/7 > 1/2 and 28/56 = 1/2

345: 3/9 < 1/2 and 5/6 > 1/2 and 14/28 = 1/2

346: 3/9 < 1/2 and 5/6 > 1/2 and 41/82 = 1/2

347: 3/9 < 1/2 and 5/7 > 1/2 and 14/28 = 1/2

348: 3/9 < 1/2 and 5/7 > 1/2 and 41/82 = 1/2

349: 3/9 < 1/2 and 6/1 > 1/2 and 27/54 = 1/2

350: 3/9 < 1/2 and 6/5 > 1/2 and 14/28 = 1/2

351: 3/9 < 1/2 and 6/5 > 1/2 and 41/82 = 1/2

352: 3/9 < 1/2 and 6/7 > 1/2 and 14/28 = 1/2

353: 3/9 < 1/2 and 6/7 > 1/2 and 41/82 = 1/2

354: 3/9 < 1/2 and 6/8 > 1/2 and 27/54 = 1/2

355: 3/9 < 1/2 and 7/1 > 1/2 and 28/56 = 1/2

356: 3/9 < 1/2 and 7/4 > 1/2 and 28/56 = 1/2

357: 3/9 < 1/2 and 7/5 > 1/2 and 14/28 = 1/2

358: 3/9 < 1/2 and 7/5 > 1/2 and 41/82 = 1/2

359: 3/9 < 1/2 and 7/6 > 1/2 and 14/28 = 1/2

360: 3/9 < 1/2 and 7/6 > 1/2 and 41/82 = 1/2

361: 3/9 < 1/2 and 8/1 > 1/2 and 27/54 = 1/2

362: 3/9 < 1/2 and 8/6 > 1/2 and 27/54 = 1/2

363: 4/9 < 1/2 and 2/1 > 1/2 and 38/76 = 1/2

364: 4/9 < 1/2 and 3/1 > 1/2 and 28/56 = 1/2

365: 4/9 < 1/2 and 5/1 > 1/2 and 36/72 = 1/2

366: 4/9 < 1/2 and 5/1 > 1/2 and 38/76 = 1/2

367: 4/9 < 1/2 and 5/2 > 1/2 and 18/36 = 1/2

368: 4/9 < 1/2 and 5/2 > 1/2 and 38/76 = 1/2

369: 4/9 < 1/2 and 5/7 > 1/2 and 13/26 = 1/2

370: 4/9 < 1/2 and 5/7 > 1/2 and 16/32 = 1/2

371: 4/9 < 1/2 and 5/7 > 1/2 and 18/36 = 1/2

372: 4/9 < 1/2 and 5/7 > 1/2 and 31/62 = 1/2

373: 4/9 < 1/2 and 5/8 > 1/2 and 13/26 = 1/2

374: 4/9 < 1/2 and 5/8 > 1/2 and 16/32 = 1/2

375: 4/9 < 1/2 and 5/8 > 1/2 and 31/62 = 1/2

376: 4/9 < 1/2 and 5/8 > 1/2 and 36/72 = 1/2

377: 4/9 < 1/2 and 7/1 > 1/2 and 28/56 = 1/2

378: 4/9 < 1/2 and 7/2 > 1/2 and 18/36 = 1/2

379: 4/9 < 1/2 and 7/3 > 1/2 and 28/56 = 1/2

380: 4/9 < 1/2 and 7/5 > 1/2 and 13/26 = 1/2

381: 4/9 < 1/2 and 7/5 > 1/2 and 16/32 = 1/2

382: 4/9 < 1/2 and 7/5 > 1/2 and 18/36 = 1/2

383: 4/9 < 1/2 and 7/5 > 1/2 and 31/62 = 1/2

384: 4/9 < 1/2 and 7/8 > 1/2 and 13/26 = 1/2

385: 4/9 < 1/2 and 7/8 > 1/2 and 16/32 = 1/2

386: 4/9 < 1/2 and 7/8 > 1/2 and 31/62 = 1/2

387: 4/9 < 1/2 and 8/1 > 1/2 and 36/72 = 1/2

388: 4/9 < 1/2 and 8/5 > 1/2 and 13/26 = 1/2

389: 4/9 < 1/2 and 8/5 > 1/2 and 16/32 = 1/2

390: 4/9 < 1/2 and 8/5 > 1/2 and 31/62 = 1/2

391: 4/9 < 1/2 and 8/5 > 1/2 and 36/72 = 1/2

392: 4/9 < 1/2 and 8/7 > 1/2 and 13/26 = 1/2

393: 4/9 < 1/2 and 8/7 > 1/2 and 16/32 = 1/2

394: 4/9 < 1/2 and 8/7 > 1/2 and 31/62 = 1/2

Source: Alyson Eaglen

1/5 1/2 and 22/44= 1/2

1/3 1/2 and 48/96 = 1/2

3/9 1/2 and 14/28 = 1/2

14>12and 47>12and 20 100 >12

1/5 1/2 7/9 1/2 34/68=1/2

1/3 1/2 and 22/44 = 1/2

1/41/2 and 1/4+1/4=1/2

4/91/2 and 13/26=1/2

Answer: 373