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145145*929292/292929-460*458/459=?
题目详情
145145*929292/292929-460*458/459=?
▼优质解答
答案和解析
145145=145×1001=29×5×1001
929292=92×10101
292929=29×10101
460×458=(459+1)×(459-1)=459×459-1
则,原式
=(29×5×1001×92×10101)/(29×10101)-(459×459-1)/459
=5×92×1001-(459-1/459)
=460×(1000+1)-459+1/459
=460000+460-459+1/459
=460000+1+1/459
=460001又459分之1
929292=92×10101
292929=29×10101
460×458=(459+1)×(459-1)=459×459-1
则,原式
=(29×5×1001×92×10101)/(29×10101)-(459×459-1)/459
=5×92×1001-(459-1/459)
=460×(1000+1)-459+1/459
=460000+460-459+1/459
=460000+1+1/459
=460001又459分之1
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