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b) 1,2x53+53x17,2-53x8,4
= 8,4x(1,2+17,2+8,4)
=8,4x 10
= 84
d) 1/4x152/11+68/11x1/4
=1/4x( 152/11+68/11)
=1/4x 20
= 5
e) 37x38-19x74+1000
=37x2x19-19x74+1000
=74x19-19x74+1000
=0+1000
=1000
Bài 1:
a) 8 x 4 x 125 x 25
= ( 8 x 125 ) x ( 4 x 25 )
= 1000 x 100
= 100000
b) 2 x 178 x 5
= ( 2 x 5 ) x 178
= 10 x 178
= 1780
Bài 2:
a) 5/7 + 7/13 + 9/13 + 6/5 + 9/7 + 9/5
= ( 5/7 + 9/7 ) + ( 7/13 + 9/13 ) + ( 6/5 + 9/5 )
= 2 + 16/13 + 3
= 81/13
b) 1/11 + 2/11 + ... + 10/11
= 55/11 = 5
B=1/4x (7+9) + 1/5x(9+11) + 1/6x(11+13) + 1/7x13
=4+2+4+\(\frac{13}{7}\)=10+\(\frac{13}{7}\)=\(\frac{83}{7}\)
\(A=\frac{1}{1.3}-\frac{1}{3.5}+\frac{1}{3.5}-\frac{1}{5.7}+...+\frac{1}{9.11}-\frac{1}{11.13}\)
\(\Leftrightarrow A=\frac{1}{1.3}-\frac{1}{11.13}=\frac{1}{3}-\frac{1}{143}=\frac{140}{429}\)
\(A=\frac{4}{1.3.5}+\frac{4}{3.5.7}+\frac{4}{5.7.9}+\frac{4}{7.9.11}+\frac{4}{9.11.13}\)
\(\Rightarrow A=\frac{1}{1.3}-\frac{1}{3.5}+\frac{1}{3.5}-\frac{1}{5.7}+...+\frac{1}{9.11}-\frac{1}{11.13}\)
\(\Rightarrow A=\frac{1}{1.3}-\frac{1}{11.13}=\frac{1}{3}-\frac{1}{143}=\frac{140}{429}\)
\(\dfrac{4}{9}=\dfrac{44}{99};\dfrac{5}{11}=\dfrac{45}{99};\dfrac{44}{99}< \dfrac{45}{99}\Rightarrow\dfrac{4}{9}< \dfrac{5}{11}\\ \dfrac{2}{3}=\dfrac{8}{12}< \dfrac{11}{2}\\ \dfrac{7}{18}>\dfrac{7}{24}\left(18< 24\right)\\ \dfrac{12}{13}=\dfrac{12\cdot101}{13\cdot101}=\dfrac{1212}{1313}>\dfrac{1010}{1313}\\ \dfrac{2}{5}=\dfrac{2\cdot11}{5\cdot11}=\dfrac{22}{55}\\ \dfrac{6}{7}< 1< \dfrac{7}{6}\)
\(\frac{5}{6}+\frac{7}{4}+\frac{11}{24}=\frac{20+42+11}{24}=\frac{73}{24}\)
\(\frac{5}{7}-\frac{2}{5}-\frac{3}{35}=\frac{25-14-3}{35}=\frac{8}{35}\)
\(\frac{4}{9}\times\frac{3}{2}\times\frac{9}{5}=\frac{4\times3\times9}{9\times2\times5}=\frac{6}{5}\)
\(\frac{21}{22}:\frac{7}{11}\times\frac{2}{3}=\frac{21}{22}\times\frac{11}{7}\times\frac{2}{3}=\frac{3}{2}\times\frac{2}{3}=1\)
\(\frac{1}{7}+\frac{5}{11}:\frac{7}{13}+\frac{6}{11}:\frac{7}{13}\)
= \(\frac{1}{7}+\left(\frac{5}{11}+\frac{6}{11}\right):\frac{7}{13}\)
=\(\frac{1}{7}+\frac{11}{11}:\frac{7}{13}\)
=\(\frac{1}{7}+1:\frac{7}{13}\)
= \(\frac{1}{7}+\frac{13}{7}\)
= \(\frac{14}{7}=2\)
k cho mk nha
1/7 + 5/11 : 7/13 + 6/11 : 7/13
= \(\frac{1}{7}+\left(\frac{5}{11}+\frac{6}{11}\right):\frac{7}{13}\)
= \(\frac{1}{7}+1x\frac{13}{7}\)
= \(\frac{14}{7}=2.\)