Đáp án+Giải thích các bước giải:
Tính
`A=11/1.3+11/3.5+...+11/97.99`
`A=11/2.(2/1.3+2/3.5+...+2/97.99)`
`A=11/2.(1/1-1/3+1/3-1/5+...+1/97-1/99)`
`A=11/2.(1/1-1/99)`
`A=11/2.(99/99-1/99)`
`A=11/2. 98/99`
`A=49/9`
Vậy `A=49/9`
`B=1/7+1/91+1/247+1/475+1/775+1/1147`
`B=13/91+1/91+1/247+1/475+1/775+1/1147`
`B=14/91+1/247+1/475+1/775+1/1147`
`B=2/13+1/247+1/475+1/775+1/1147`
`B=38/247+1/247+1/475+1/775+1/1147`
`B=39/247+1/475+1/775+1/1147`
`B=3/19+1/475+1/775+1/1147`
`B=75/475+1/475+1/775+1/1147`
`B=76/475+1/775+1/1147`
`B=4/25+1/775+1/1147`
`B=124/775+1/775+1/1147`
`B=125/775+1/1147`
`B=5/31+1/1147`
`B=185/1147+1/1147`
`B=186/1147`
`B=6/37`
Vậy `B=6/37`