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Bài giải :
Số các số hạng của dãy số trên là :
( 34 - 1 ) : 1 + 1 = 34 ( số hạng )
Tổng dãy số trên là :
( 34 + 1 ) x 34 : 2 = 578
Đáp số : 578
3/4+1/2+5/8=15/8
5/9+9/8-15/28=577/504
11/30-9/25x15/27=1/6
3/4:5/8:3/10=4
(6:3/5-7/6×6/7) : (21/5×10/11+57/11)
=(10-1):(42/11+57/11)
=9:9
=1
(6:3/5-7/6x6/7):(21/5x10/11+57/11)
= (10-1):(42/11+57/11)
=9:9
=1
~~~~ Hoc tot ~~~~~
1/2 + 3/6 + 5/10 + 7/14 + 9/18 + 11/22
= 1/2 + ( 3/6=1/2) + (5/10=1/2) + (7/14 = 1/2) +( 9/18 =1/2) + (11/22 = 1/2)
= 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + 1/2
= 1 + 1 + 1
= 3
\(\frac{1}{2}+\frac{3}{6}+\frac{5}{10}+\frac{7}{14}+\frac{9}{18}+\frac{11}{22}=\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}=\frac{1}{2}.6=\frac{6}{2}=3\)
\(\frac{1}{9\cdot10}+\frac{2}{10\cdot12}+\frac{3}{12\cdot15}+\frac{4}{15\cdot19}+\frac{5}{19\cdot24}+\frac{6}{24\cdot30}
\)
\(=\frac{1}{9}-\frac{1}{10}+\frac{1}{10}-\frac{1}{12}+\frac{1}{12}-\frac{1}{15}+\frac{1}{15}-\frac{1}{19}+\frac{1}{19}-\frac{1}{24}+\frac{1}{24}-\frac{1}{30}\)
\(=\frac{1}{9}-\frac{1}{30}\)
\(=\frac{10}{90}-\frac{3}{90}\)
\(=\frac{7}{90}\)
`1/2+2/4+3/6+4/8+5/10+6/12`
`=1/2+1/2+1/2+1/2+1/2+1/2`
`=1/2*6=3`
`1/3+1/4+1/5+8/10+20/15+20/30`
`=(1/3+1/4)+(1/5+4/5)+(4/3+2/3)`
`=7/12+1+2`
`=7/12+3=43/12`
\(\dfrac{1}{2}+\dfrac{2}{4}+\dfrac{3}{6}+\dfrac{4}{8}+\dfrac{5}{10}+\dfrac{6}{12}\)
\(=\dfrac{1}{2}+\dfrac{1}{2}+\dfrac{1}{2}+\dfrac{1}{2}+\dfrac{1}{2}+\dfrac{1}{2}\)
\(=\dfrac{1}{2}\times6=3\)
\(------\)
\(\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{1}{5}+\dfrac{8}{10}+\dfrac{20}{15}+\dfrac{20}{30}\)
\(=\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{1}{5}+\dfrac{4}{5}+\dfrac{4}{3}+\dfrac{2}{3}\)
\(=\left(\dfrac{1}{3}+\dfrac{4}{3}+\dfrac{2}{3}\right)+\left(\dfrac{1}{5}+\dfrac{4}{5}\right)+\dfrac{1}{4}\)
\(=\dfrac{7}{3}+1+\dfrac{1}{4}\)
\(=\dfrac{28}{12}+\dfrac{12}{12}+\dfrac{3}{12}\)
\(=\dfrac{43}{12}\)
2/5 + 11/15 = 17/15
7/8 - 7/9 = 7/72
11/13 x 26/31 = 22/31
16/24 : 4 = 1/6
30 : 6/5 = 25
9/16 : 4 = 9/64
1/2 : 1/3 x 8/15 = 3/2 x 8/15 = 4/5
\(\dfrac{5}{6}+\dfrac{3}{10}+\dfrac{11}{30}\)
\(=\dfrac{25}{30}+\dfrac{9}{30}+\dfrac{11}{30}\)
\(=\dfrac{25+9+11}{30}=\dfrac{44}{30}=\dfrac{22}{15}\)