请教几道分数简便运算题
问题描述:
请教几道分数简便运算题
1/(2×5) +1/(3×5)+1/(8×11)+……1/(20×23)
4/3+7/12-9/20+11/30-13/42
1/12+1/20+1/30+1/42+1/56+1/72+1/90
1/(1×5) +1/(5×9)+1/(9×13)+……1/(55×59)
还有一题:229又1/11除以46又1/44
即2520/11除以2025/44
答
1/(2×5) +1/(3×5)+1/(8×11)+……1/(20×23)?1/(2×5)=(1/2-1/5)÷31/(5×8)=(1/5-1/8)÷21/(8×11)=(1/8-1/11)÷3……1/(20×23)=(1/20-1/23)÷3 1/(2×5) +1/(5×8)+1/(8×11)+……1/(20×23)=1/3×(1/2-1...