111...1(2002个1)222...2(2002个2)/333...3(2002个3)简便运算

问题描述:

111...1(2002个1)222...2(2002个2)/333...3(2002个3)简便运算

111...1(2002个1)222...2(2002个2)/333...3(2002个3)
=[111...1(2002个1)000...0(2002个0)+222...2(2002个2)]/333...3(2002个3)
=[111...1(2002个1)*1000...0(2002个0)+111...1(2002个1)*2]/111...1(2002个1)*3
=[111...1(2002个1)*1000...02(2001个0)]/[111...1(2002个1)*3]
=1000...02(2001个0)/3
=333...34(2001个3).