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Mathematics exercises and examination materials for seventh grade
( 1)

14/33< 15/34< 16/35< 17/36< 18/37

(2)

∫ 14/33-( 14+n)/(33+n)=[ 14(33+n)-33( 14+n)]/33(33+n)

=[ 14×33+ 14n-33× 14-33n]/33(33+n)

=[ 14n-33n]/33(33+n)& lt; 0

∴ 14/33<; ( 14+n)/(33+n)

(3)

∫b/a-(b+n)/(a+n)=[b(a+n)-a(b+n)]/a(a+n)

=[b×a+bn-a×b-an]/a(a+n)

=[bn-an]/a(a+n)

A b is a positive integer, a>b, ∴ an > Bn, where the above formula is less than zero.

∴b/a<; (b+n)/(a+n)