國一數學分數四則運算進階題 求解?

2018-07-22 3:58 pm

回答 (1)

2018-07-22 4:18 pm
✔ 最佳答案
Sol
1
1/(2*3)+1/(3*4)+1/(4*5)+…+1/(99*100)
=(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+…+(1/99-1/100)
=1/2-1/100
=49/100
2
2/(2*4)+2/(4*6)+2/(6*8)+…+2/(98*100)
=(1/2-1/4)+(1/4-1/6)+(1/6-1/8)+…+(1/98-1/100)
=1/2-1/100
=49/100


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