Verify that the addition of rational numbers is commutative for 5upon6 and -4upon9.
find the smallest rational number in 4upon-9, -5upon6, 7upon18, -2upon3.
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smallest rational number = -5/6
4/-9 , -5/6 , 7/18 , -2/3 (LCM of 9, 6, 18, 3 = 18)
-8/18 , -15/18 , 7/18 , -12/18
-15/18 < -12/18 < -8/18 < 7/18
-5/6 < -2/3 < 4/-9 < 7/18
Hence, -5/6 is the smallest rational number.
4/-9 , -5/6 , 7/18 , -2/3 (LCM of 9, 6, 18, 3 = 18)
-8/18 , -15/18 , 7/18 , -12/18
-15/18 < -12/18 < -8/18 < 7/18
-5/6 < -2/3 < 4/-9 < 7/18
Hence, -5/6 is the smallest rational number.
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