1/99 比 11/999 比 111/9999
问题描述:
1/99 比 11/999 比 111/9999
哪个大?那个小?
答
① (111/9999)÷(11/999)=(111/9999)×(999/11)=
=(111/1111)×(111/11)=12321/12221>1,
所以,111/9999>11/999
②(11/999)÷(1/99)=(11/999)×(99/1)=
=(11/111)×(11/1)=121/111>1,
所以,11/999>1/99
③ (111/9999)÷(1/99)=(111/9999)×(99/1)=
=(111/1111)×(11/1)=111/101>1,
所以,111/9999>1/99
所以,111/9999>11/999>1/99