Question

1+13/6+37/12+81/20+151/30+253/42+393/56+577/72【简算】

Answer 1

1+13/6+37/12+81/20+151/30+253/42+393/56+577/72
=1+2+1/6+3+1/12+4+1/20+5+1/30+6+1/42+7+1/56+8+1/72
=1+2+3+4+5+6+7+8+9+1/6+1/12+1/20+1/30+1/42+1/56+1/72
=(1+9)x9÷2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9
=45+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9
=45+1/2-1/9
=45+7/18
=45又7/18

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