câu 3:m=$\frac{$\frac{3}{4}$+$\frac{3}{5}$ + $\frac{3}{7}$ - $\frac{3}{11}$ }{$\frac{6}{4}$ + $\frac{6}{5}$ + $\frac{6}{7}$ - $\frac{6}{11}$ }$ câu 4 tính tổng: s= $\frac{3}{1.4}$ + $\frac{3}{4.7}$ +$\frac{3}{7.10}$ + $\frac{3}{10.13}$ + $\frac{3}{13.16}$
2 câu trả lời
Câu 3 :
`M = \frac{3/4 + 3/5 + 3/7 + 3/11}{6/4 + 6/5 + 6/7 + 6/11}`
`-> M = \frac{3. ( 1/4 + 1/5 + 1/7 + 1/11)}{6 . (1/4 + 1/5 + 1/7 + 1/11)}`
`-> M = \frac{3}{6} = 1/2`
Vậy `M = 1/2`
Câu 4 :
`S = \frac{3}{1 . 4} + \frac{3}{4 . 7} + \frac{3}{7 . 10} + \frac{3}{10 . 13} + \frac{3}{13 . 16}`
`-> S = 1 - \frac{1}{4} + 1/4 - 1/7 + 1/7 - 1/10 + 1/10 - 1/13 + 1/13 - 1/16`
`-> S = 1 - 1/16`
`-> S = 16/16 - 1/16`
`-> S = 15/16`
Vậy `S = 15/16`
Đáp án:
Giải thích các bước giải:
`***`Câu 3:
`M = (3/4+3/5+3/7-3/11)/(6/4+6/5+6/7+6/11)`
`= (2(3/4+3/5+3/7-3/11))/(2(6/4+6/5+6/7-6/11))`
`= (1(6/4+6/5+6/7-6/11))/(2(6/4+6/5+6/7-6/11))`
`= 1/2`
`=> M = 1/2`
`Vậy` `M = 1/2`
`***`Câu 4:
`S = 3/(1*4)+3/(4*7)+3/(7*10)+3/(10*13)+3/(13*16)`
`= 1/1 - 1/4 + 1/4 - 1/7 + 1/7 - 1/10 + 1/10 - 1/14 + 1/13 - 1/16`
`= 1 - 1/16`
`= 15/16`
`Vậy` `S = 15/16`