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b . 3/7 . 16/33 + 16/33 . 4/7
= 16/33 . ( 3/7 + 4/7 )
= 16/33 . 7/7
= 16/33 . 1
= 16/33
c2 3/7 . 16/33 + 16/33 . 4/7
= 16/77 + 64/231
= 48/231 + 64/231
= 112/231
= 16/33
chúc em học giỏi !!!
a . 5/24 . 5/12 . 24
= ( 5/24 . 24 ) .5/12
= 5 . 5/12
= 25/12
C2 : 5/24 . 5/12 . 24
= 5/24 . ( 5/12 . 24 )
= 5/24 . 10
= 50/24
= 25/12
a) \(\frac{3}{5}\times y+\frac{1}{2}:\frac{5}{3}-\frac{5}{4}=\frac{1}{2}\times\frac{1}{3}\)
\(\Rightarrow\frac{3}{5}\times y+\frac{3}{10}-\frac{5}{4}=\frac{1}{6}\)
\(\Rightarrow\frac{3}{5}\times y+\left(-\frac{19}{20}\right)=\frac{1}{6}\)
\(\Rightarrow\frac{3}{5}\times y=\frac{67}{60}\)
\(\Rightarrow y=\frac{67}{36}\)
b) \(\frac{4}{5}:y+\frac{1}{4}\times\frac{1}{6}-\frac{1}{2}=\frac{1}{3}\times\frac{5}{2}\)
\(\Rightarrow\frac{4}{5}:y+\frac{1}{24}-\frac{1}{2}=\frac{5}{6}\)
\(\Rightarrow\frac{4}{5}:y+\left(-\frac{11}{24}\right)=\frac{5}{6}\)
\(\Rightarrow\frac{4}{5}:y=\frac{5}{6}+\frac{11}{24}=\frac{31}{24}\)
\(\Rightarrow y=\frac{4}{5}:\frac{31}{24}=\frac{96}{155}\)
c) \(\frac{3}{5}\times y-\frac{4}{5}:3+\frac{1}{12}=\frac{3}{2}+\frac{1}{5}\)
\(\Rightarrow\frac{3}{5}\times y-\frac{4}{15}+\frac{1}{12}=\frac{17}{10}\)
\(\Rightarrow\frac{3}{5}\times y-\frac{4}{15}=\frac{97}{60}\)
\(\Rightarrow\frac{3}{5}\times y=\frac{113}{60}\)
\(\Rightarrow y=\frac{113}{36}\)
\(\frac{2}{3}.\frac{3}{4}.\frac{4}{5}.\frac{5}{6}:\frac{2}{6}+2019\)
=\(\frac{2}{3}.\frac{3}{4}.\frac{4}{5}.\frac{5}{6}.\frac{6}{2}+2019\)
=\(\frac{2.3.4.5.6}{3.4.5.6.2}+2019\)
=\(1+2019\)
=\(2020\)
\(\left(\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+....+\frac{1}{19.21}\right).x=\frac{9}{7}\)
\(\left(\frac{5-3}{3.5}+\frac{7-5}{5.7}+\frac{9-7}{7.9}+...+\frac{21-19}{19.21}\right).x=\frac{9}{7}\)
\(\left[\frac{1}{2}.\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{19}-\frac{1}{21}\right)\right].x=\frac{9}{7}\)
\(\left[\frac{1}{2}.\left(\frac{1}{3}-\frac{1}{21}\right)\right].x=\frac{9}{7}\)
\(\left[\frac{1}{2}.\frac{2}{7}\right].x=\frac{9}{7}\)
\(\frac{1}{7}.x=\frac{9}{7}\)
\(\Rightarrow x=\frac{9}{7}\div\frac{1}{7}=9\)
\(\left(\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+...+\frac{1}{19.21}\right)x=\frac{9}{7}\)
\(\Leftrightarrow\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{19}-\frac{1}{21}\right)x=\frac{9}{7}\)
\(\Leftrightarrow\left(\frac{1}{3}-\frac{1}{21}\right)x=\frac{9}{7}\)
\(\Leftrightarrow\frac{2}{7}x=\frac{9}{7}\)
\(\Leftrightarrow x=\frac{9}{2}\)
Bài 1 :
A = 1 - 1/2 + 1/2 - 1/4 + 1/4 - 1/8 + 1/8 - 1/16 + ... + 1/32 - 1/64
A = 1 - 1/64
A = 63/64
\(x\cdot\frac{1}{3}:\frac{2}{5}=\frac{4}{3}\)
\(\Rightarrow x\cdot\frac{1}{3}=\frac{4}{3}\cdot\frac{2}{5}\)
\(\Rightarrow x\cdot\frac{1}{3}=\frac{8}{15}\)
\(\Rightarrow x=\frac{8}{15}:\frac{1}{3}\)
\(\Rightarrow x=\frac{8}{5}\)
Vậy x=........
\(x.\frac{1}{3}:\frac{2}{5}=\frac{4}{3}\)
\(x.\frac{1}{3}=\frac{4}{3}x\frac{2}{5}=\frac{8}{15}\)
\(x=\frac{8}{15}:\frac{1}{3}=\frac{8}{5}\)
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