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Bài 2:
\(=\left(\dfrac{1}{5}+\dfrac{4}{5}\right)+\left(\dfrac{1}{3}+\dfrac{2}{3}\right)+\left(\dfrac{1}{4}+\dfrac{1}{4}\right)=2+\dfrac{1}{2}=\dfrac{5}{2}\)
Bài 1:
150/120+15/27=5/4+5/9=45/36+20/36=65/36
42/49+56/84=6/7+2/3=9/21+14/21=23/21
\(=\frac{1}{2.3}+\frac{1}{3.4}+....+\frac{1}{11.12}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{11}-\frac{1}{12}\)
\(=\frac{1}{2}-\frac{1}{12}\)
\(=\frac{5}{12}\)
bn sẽ tinh theo kieeuranhaan 2 nha xin lỗi mik làm bi này rùi nhưng mik quên mik có sacks xem lại
\(Bài \) \(1\)\(:\)
\(\frac{5}{11}\)\(;\)\(\frac{5}{14}\)\(;\)\(\frac{5}{13}\)\(;\)\(\frac{5}{12}\)
\(Bài\) \(1\)\(:\)
\(\frac{8}{10};\frac{8}{11};\frac{8}{12};\frac{8}{13};\frac{4}{6};\frac{12}{16};\frac{12}{17}\)
A=1/20+1/30+1/42+1/56+1/72+1/90
A=1/4x5+1/5x6+1/6x7+1/7x8+1/8x9+1/9x10
A=1/4-1/5+1/5-1/6+...+1/9-1/10
A=1/4-1/10
A=3/20
a: 3/7=18/42
5/6=35/42
b: 5/17=15/51
9/51=9/51
c: 3/8=9/24
5/6=20/24
g: 7/30=28/120
13/60=26/120
9/40=27/120
\(\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{42}+\dfrac{1}{56}+\dfrac{1}{72}+\dfrac{1}{90}\)
\(=\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+\dfrac{1}{4\cdot5}+\dfrac{1}{5\cdot6}+\dfrac{1}{6\cdot7}+\dfrac{1}{7\cdot8}+\dfrac{1}{8\cdot9}+\dfrac{1}{9\cdot10}\)
\(=1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{10}\)
\(=1-\dfrac{1}{10}\)
\(=\dfrac{9}{10}\)
A=1/20+1/30+1/42+1/56+1/72+1/90
A=1/4.5+1/5.6+1/6.7+1/7.8+1/8.9+1/9.10
A=1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10
A=1/4-1/10
A=3/20
1. \(A=\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{42}+\dfrac{1}{56}+\dfrac{1}{72}+\dfrac{1}{90}\\ A=\dfrac{1}{4\text{x}5}+\dfrac{1}{5\text{x}6}+\dfrac{1}{6\text{x}7}+\dfrac{1}{7\text{x}8}+\dfrac{1}{8\text{x}9}+\dfrac{1}{9\text{x}10}\\ A=\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{10}\\ A=\dfrac{1}{4}-\dfrac{1}{10}\\ A=\dfrac{3}{20}\)
2. Ta có:
\(\dfrac{7}{9}=\dfrac{7\text{x}4}{9\text{x}4}=\dfrac{28}{36};\dfrac{7}{10}=\dfrac{7\text{x}4}{10\text{x}4}=\dfrac{28}{40}\)
Vì \(\dfrac{28}{36}>\dfrac{28}{37}>\dfrac{28}{38}>\dfrac{28}{39}>\dfrac{28}{40}\)
⇒ 3 phân số khác nhau nằm giữa 2 phân số \(\dfrac{7}{9}\) và \(\dfrac{7}{10}\) là \(\dfrac{28}{37};\dfrac{28}{38};\dfrac{28}{39}\)
\(A=\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{42}+\dfrac{1}{56}+\dfrac{1}{72}+\dfrac{1}{90}\)
\(A=\dfrac{1}{4\times5}+\dfrac{1}{5\times6}+\dfrac{1}{6\times7}+\dfrac{1}{7\times8}+\dfrac{1}{8\times9}+\dfrac{1}{9\times10}\)
\(A=\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+...+\dfrac{1}{9}-\dfrac{1}{10}\)
\(A=\dfrac{1}{4}-\dfrac{1}{10}\)
\(A=\dfrac{10}{40}-\dfrac{4}{40}\)
\(A=\dfrac{6}{40}=\dfrac{3}{20}\)