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1/4*5+1/5*6+1/6*7+1/7*8=1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8
=1/4-1/8
1/8
a) \(\frac{55}{32}\)
b) \(\frac{90}{48}\)
c) \(\frac{76}{15}\)
d) \(\frac{552}{119}\)
\(\frac{9}{16}+\frac{37}{32}=\frac{18}{32}+\frac{37}{32}=\frac{55}{32}\)
\(\frac{126}{48}-\frac{12}{16}=\frac{21}{8}-\frac{6}{8}=\frac{15}{8}\)
\(\frac{19}{15}\times\frac{32}{8}=\frac{19}{15}\times4=\frac{76}{15}\)
\(\frac{23}{17}:\frac{7}{24}=\frac{23}{17}.\frac{24}{7}=4\frac{76}{119}\)
\(\frac{1}{20}+\frac{1}{30}+\frac{1}{42}\)
\(=\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}\)
\(=\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}\)
\(=\frac{1}{4}-\frac{1}{7}\)
\(=\frac{7}{28}-\frac{4}{28}\)
\(=\frac{3}{28}\)
Chúc bạn học tốt
Ta có :
\(\frac{1}{20}+\frac{1}{30}+\frac{1}{42}\)
\(=\)\(\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}\)
\(=\)\(\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}\)
\(=\)\(\frac{1}{4}-\frac{1}{7}\)
\(=\)\(\frac{3}{28}\)
Chúc bạn học tốt ~
\(A=1+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{10.11}\)
\(=1+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{10}-\frac{1}{11}\)
\(=1+\frac{1}{2}-\frac{1}{11}=\frac{31}{22}\)
\(A=1+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+...+\frac{1}{90}+\frac{1}{110}\)
\(A=1+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}+...+\frac{1}{9\cdot10}+\frac{1}{10\cdot11}\)
\(A=1+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{9}-\frac{1}{10}+\frac{1}{10}-\frac{1}{11}\)
\(A=1+\frac{1}{2}-\frac{1}{11}\)
\(A=\frac{31}{22}\)
Vậy \(A=\frac{31}{22}\)
ta có: \(\frac{12}{27}=\frac{4}{9}\)
mà\(\frac{25}{45}=\frac{5}{9};\frac{20}{45}=\frac{4}{9};\frac{40}{42}=\frac{20}{21};\frac{32}{72}=\frac{4}{9};\frac{15}{27}=\frac{5}{9}\)
\(\Rightarrow\frac{12}{27}=\frac{20}{45}=\frac{32}{72}\left(=\frac{4}{9}\right)\)
CHÚC BN HỌC TỐT!
a, \(\frac{6}{7}.\frac{16}{15}.\frac{7}{6}.\frac{21}{32}=\frac{6}{7}.\frac{7}{6}.\frac{16}{15}.\frac{21}{32}\)=\(1.\frac{16}{15}.\frac{21}{32}=\frac{7}{5.2}=\frac{7}{10}\)
Phần b T2
c,\(\frac{7}{4}.\frac{11}{21}+\frac{11}{21}.\frac{5}{4}=\frac{11}{21}.\left(\frac{7}{4}+\frac{5}{4}\right)\)=\(\frac{11}{21}.3=\frac{11}{7}\)
\(\frac{9}{8}>\frac{8}{9}\)
\(\frac{16}{23}>\frac{16}{25}\)
\(\frac{8}{11}< \frac{8}{10}\)
\(\frac{10}{13}>\frac{19}{26}\)
\(\frac{13}{15}< \frac{11}{10}\)
\(\frac{11}{9}=\frac{44}{36}\)
9/8 > 8/9
16/23 > 16/25
8/11 < 8/10
10/13 > 19/26
13/15 < 11/10
11/9 = 44/36
Tham khảo nha !
Chúc bạn học giỏi !
các phân số bằng nhau là :
\(\frac{15}{25}=\frac{21}{35}=\frac{3}{5}=\frac{75}{125}\)
\(\frac{7}{4}=\frac{49}{28}=\frac{105}{60}\)
Giúp mình nha
Ra số nhiều nắm bạn ạ!