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\(a,=\frac{7-1}{1.3.7}+\frac{9-3}{3.7.9}+\frac{13-7}{7.9.13}+\frac{15-9}{9.13.15}\)\(+\frac{19-13}{13.15.19}\)
\(=\frac{1}{1.3}-\frac{1}{3.7}+\frac{1}{3.7}-\frac{1}{7.9}+\frac{1}{7.9}-\frac{1}{9.13}+\frac{1}{9.13}-\frac{1}{13.15}+\frac{1}{13.15}-\frac{1}{15.19}\)
\(=\frac{1}{1.3}-\frac{1}{15.19}=\frac{95}{285}-\frac{1}{285}=\frac{94}{285}\)
\(b,=\frac{1}{6}.\left(\frac{6}{1.3.7}+\frac{6}{3.7.9}+\frac{6}{7.9.13}+\frac{6}{9.13.15}+\frac{6}{13.15.19}\right)\)
làm giống như trên
\(c,=\frac{1}{8}.\left(\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+...+\frac{1}{48.49.50}\right)\)
\(=\frac{1}{16}.\left(\frac{2}{1.2.3}+\frac{2}{2.3.4}+\frac{2}{3.4.5}+...+\frac{2}{48.49.50}\right)\)
\(=\frac{1}{16}.\left(\frac{3-1}{1.2.3}+\frac{4-2}{2.3.4}+\frac{5-3}{3.4.5}+...+\frac{50-48}{48.49.50}\right)\)
\(=\frac{1}{16}.\left(\frac{1}{1.2}-\frac{1}{2.3}+\frac{1}{2.3}-\frac{1}{3.4}+\frac{1}{3.4}-\frac{1}{4.5}+...+\frac{1}{48.49}-\frac{1}{49.50}\right)\)
\(=\frac{1}{16}.\left(\frac{1}{2}-\frac{1}{2450}\right)=\frac{1}{16}.\left(\frac{1225}{2450}-\frac{1}{2450}\right)=\frac{153}{4900}\)
\(d,=\frac{5}{7}.\left(\frac{7}{1.5.8}+\frac{7}{5.8.12}+\frac{7}{8.12.15}+...+\frac{7}{33.36.40}\right)\)
\(=\frac{5}{7}.\left(\frac{8-1}{1.5.8}+\frac{12-5}{5.8.12}+\frac{15-8}{8.12.15}+...+\frac{40-33}{33.36.40}\right)\)
\(=\frac{5}{7}.\left(\frac{1}{1.5}-\frac{1}{5.8}+\frac{1}{5.8}-\frac{1}{8.12}+\frac{1}{8.12}-\frac{1}{12.15}+...+\frac{1}{33.36}-\frac{1}{36.40}\right)\)
\(=\frac{5}{7}.\left(\frac{1}{5}-\frac{1}{1440}\right)=\frac{5}{7}.\left(\frac{288}{1440}-\frac{1}{1440}\right)=\frac{41}{288}\)
P/S: . là nhân nha
1)
a) 2/5 > 1/3 > 3/10 > 1/15 > 7/30 > 1/6
b) 4/3 > 4/5 > 7/10 > 2/3 > 5/9 > 1/2
2)
a) 41/20
b) 89/30
c) 8/15
d) 6
e) 3/4
f) 4/19
g) 3/4
\(9\frac{1}{4}+6\frac{2}{7}+7\frac{3}{5}+8\frac{2}{3}+\frac{2}{5}+\frac{1}{3}+\frac{5}{7}+\frac{3}{4}\)
\(=\left(9\frac{1}{4}+\frac{3}{4}\right)+\left(6\frac{2}{7}+\frac{5}{7}\right)+\left(7\frac{3}{5}+\frac{2}{5}\right)+\left(8\frac{2}{3}+\frac{1}{3}\right)\)
\(=\left(\frac{37}{4}+\frac{3}{4}\right)+\left(\frac{44}{7}+\frac{5}{7}\right)+\left(\frac{38}{5}+\frac{2}{5}\right)+\left(\frac{26}{3}+\frac{1}{3}\right)\)
\(=\frac{40}{4}+\frac{49}{7}+\frac{40}{5}+\frac{40}{5}+\frac{27}{3}\)
\(=10+7+8+8+9\)
\(=42\)
**** nha Bùi Xuân Lê
Bé Na tìm đây nha:
Câu hỏi của ngô thị gia linh - Toán lớp 6 - Học toán với OnlineMath
hay Giải toán trên mạng - Giúp tôi giải toán - Hỏi đáp, thảo luận về toán học - Học toán với OnlineMath
........
b) 9/5 : (2 . x + 1) - 2 = 7
9/5 : ( 2 . x + 1) = 7 + 2
9/5 : ( 2 . x + 1) = 9
2 . x + 1 = 9/5 : 9
2 . x + 1 = 1/5
2 . x = 1/5 - 1
2 . x = - 4/5
x = - 4/5 : 2
x = - 2/5
1+1+2+2+3+3+4+4+5+5+6+6+7+7+8+9+8+9+10+12+13+14+15+16+17+18+19+20+30+1000000=10000274
a/
=3/21+14/21+42/21=3+14+42/21=59/21
b/
=4/5+15/8
=32/40+45/40=107/40
2:
=>2y=30
=>y=15
3:
=1/2(9/7-4/7)+5/7*13/2
=5/7(1/2+13/2)
=5/7*7=5