0
7/5 = 1.4 = 1 + 0.4
5/7 = 0.714 = 1 - 0.286
so 5/7 is closer
as 0.286 is smaller than 0.4
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Find the mean average of 7/5 and 5/7 ; now find between which fraction and the mean average the number 1 lies - this will tell you which is closer to 1.
(7/5 + 5/7) ÷ 2 = ((7×7)/(5×7) + (5×5)/(7×5)) × 1/2
= (49/35 + 25/35) × 1/2
= 74/35 × 1/2
= 37/35 = 1 2/35
Note: 7/5 = 1 2/5.
Therefore 5/7 < 1 2/35 < 1 2/5
→ 5/7 < 1 < 1 2/35 (mean) < 1 /25 (7/5)
Thus 5/7 is closer to 1 than 7/5
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∙ 6y ago
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