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Sure=)
Simple task:)
Tính bằng cách thuận tiện nhất :
3/7 + 1/8 + 4/7 + 7/8
a. 2
b. 1 + 1
c. 2 + 1
d. ( 3/7 + 1/8 ) + ( 4/7 + 7/8 )
e. 3
g. 1 + 2
h. ( 3/7 + 4/7 ) + ( 1/8 + 7/8 )
a] 4/12 ; 5/12 ; 11/2 ; 1/4
b] 1 ; 9/12; 12/5 ; 11/3
c] 8/21; 6/11;8/7
d] 2/3 ;2/7 15/2
a]1/3 5/12 11/2 1/4
b]1 3/4 12/5 33/9
c]8/21 6/11 8/7
d]2/3 2/7 15/2
#)Giải :
Đặt \(A=\frac{7}{2}+\frac{7}{4}+\frac{7}{8}+\frac{7}{16}+\frac{7}{32}+...+\frac{7}{512}\)
\(A=\frac{7}{2}+\frac{7}{2^2}+\frac{7}{2^3}+\frac{7}{2^4}+...+\frac{7}{2^9}\)
\(\Rightarrow2A=\frac{7}{2^2}+\frac{7}{2^3}+\frac{7}{2^4}+\frac{7}{2^5}+...+\frac{7}{2^{10}}\)
\(\Rightarrow2A-A=\left(\frac{7}{2^2}+\frac{7}{2^3}+\frac{7}{2^4}+\frac{7}{2^5}+...+\frac{7}{2^{10}}\right)-\left(\frac{7}{2}+\frac{7}{2^2}+\frac{7}{2^3}+\frac{7}{2^4}+...+\frac{7}{2^9}\right)\)
\(\Rightarrow A=\frac{7}{2^{10}}-\frac{7}{2}\)
a)2/3*4/7+1/3*4/7=(2/3+1/3)*4/7=1*4/7=4/7
b)5/8*3/7*7/3=5/8*1=5/8
c)(4/5+2)*5/4=4/5*5/4+2=1+2=3
A\(\frac{7}{8}+\frac{7}{12}+\frac{9}{8}+\frac{5}{12}\)
\(=\left(\frac{7}{12}+\frac{5}{12}\right)+\left(\frac{7}{8}+\frac{9}{8}\right)\)
\(=1+2\)
\(=3\)
a. \(\frac{4}{5}+\frac{3}{7}=\frac{28}{35}+\frac{15}{35}=\frac{43}{35}\) ; \(\frac{6}{8}+\frac{4}{2}=\frac{6}{8}+\frac{16}{8}=\frac{22}{8}=\frac{11}{4}\)
\(\frac{9}{7}-\frac{7}{9}=\frac{81}{63}-\frac{49}{63}=\frac{32}{63}\); \(\frac{8}{7}-\frac{7}{8}=\frac{64}{56}-\frac{49}{56}=\frac{15}{56}\)
b. \(\frac{7}{5}+\frac{6}{8}\div\frac{2}{5}=\frac{7}{5}+\frac{15}{8}=\frac{131}{40}\); \(\frac{3}{2}-\frac{2}{3}+\frac{4}{6}=\frac{5}{6}+\frac{4}{6}=\frac{9}{6}=\frac{3}{2}\)
\(\frac{6}{7}\times\frac{3}{4}-\frac{4}{3}=\frac{18}{28}-\frac{4}{3}=-\frac{29}{42}\)
a) \(\frac{4}{5}+\frac{3}{7}=\frac{43}{35}\); \(\frac{6}{8}+\frac{4}{2}=\frac{11}{4}\)
\(\frac{9}{7}-\frac{7}{9}=\frac{32}{63}\) ; \(\frac{8}{7}-\frac{7}{8}=\frac{15}{56}\)
b) \(\frac{7}{5}+\frac{6}{8}:\frac{2}{5}=\frac{7}{5}+\frac{15}{8}=\frac{131}{40}\)
\(\frac{3}{2}-\frac{2}{3}+\frac{4}{6}=\frac{3}{2}\);\(\frac{6}{7}\times\frac{3}{4}-\frac{4}{3}=-\frac{23}{42}\)
4 × 2 7 = 8 7 8 7 : 2 7 = 8 7 × 7 2 = 4 8 7 : 4 = 2 7 2 7 × 4 = 8 7