tính bằng cách thuận tiện nhất: 26/7 x 11/3 - 26/7 x 2/3 - 6/3 x 26/7
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1a) \(\frac{10}{11}:\frac{11}{3}=\frac{10}{11}.\frac{3}{11}=\frac{30}{121}\)
b) \(3,42:0,75.8,4-6,8\)
\(=4,56.8,4-6,8=38,304-6,8=31,504\)
2a) \(\frac{21}{11}.\frac{22}{17}.\frac{68}{63}=\frac{21.22.68}{11.17.63}=\frac{7.3.2.11.17.4}{11.17.3.3.7}=\frac{2.4}{3}=\frac{8}{3}\)
b) \(\frac{5}{14}.\frac{7}{13}.\frac{26}{25}=\frac{5.7.26}{14.13.25}=\frac{5.7.13.2}{2.7.13.5.5}=\frac{1}{5}\)
\(\frac{10}{11}:1\frac{1}{3}\)
\(=\frac{10}{11}:\frac{4}{3}\)
\(=\frac{10}{11}\cdot\frac{3}{4}\)
\(=\frac{15}{22}\)
\(3,42:0,57\cdot8,4-6,8\)
\(=6\cdot8,4-6,8\)
\(=50,4-6,8\)
\(43,6\)
2.
\(\frac{21}{11}\cdot\frac{22}{17}\cdot\frac{68}{63}\)
\(=\frac{21\cdot22\cdot68}{11\cdot17\cdot63}\)
\(=\frac{21\cdot11\cdot2\cdot17\cdot4}{11\cdot17\cdot21\cdot3}\)
\(=\frac{̸21\cdot̸11\cdot2\cdot̸17\cdot4}{̸11\cdot̸17\cdot̸21\cdot3}\)
\(=\frac{8}{3}\)
\(\frac{5}{14}\cdot\frac{7}{13}\cdot\frac{26}{25}\)
\(=\frac{5\cdot7\cdot26}{14\cdot13\cdot25}\)
\(=\frac{̸5\cdot̸7\cdot̸13\cdot2}{̸7\cdot2\cdot̸13\cdot̸5\cdot5}\)
\(=\frac{2}{10}\)
21/11 x 22/17x68/63
= 7x3x2x11x4x17 / 11x17x7x3x3
=8/3
5/14x7/13x26/25
=5x7x26 / 14x13x25
= 5x7x13x2 / 7x2x13x5x5
=1/5
5/14\(\times\)7/13\(\times\)26/25
=\(\frac{5\times7\times26}{14\times13\times25}\)(rút gọn)
=1/5
\(\dfrac{26}{7}\) x \(\dfrac{11}{3}-\dfrac{26}{7}\) x \(\dfrac{2}{3}-\dfrac{6}{3}\) x \(\dfrac{26}{7}\)
\(=\dfrac{26}{7}\) x \(\left(\dfrac{11}{3}-\dfrac{2}{3}-\dfrac{6}{3}\right)\)
\(=\dfrac{26}{7}\) x \(\dfrac{3}{3}\)
\(=\dfrac{26}{7}\) x \(1=\dfrac{26}{7}\)
26/7 x 11/3 - 26/7 x 2/3 - 6/3 x 26/7
=( 11/3 - 2/3 - 6/3 ) x26/7
= 1 x 26/7
= 26 /7
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