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\(\frac{3}{7}\left(\frac{7}{13}-\frac{3}{7}\right)-\frac{7}{13}\left(-\frac{3}{7}+\frac{26}{49}\right)\)
\(=\frac{3}{7}\left(\frac{49}{91}-\frac{39}{91}\right)-\frac{7}{13}\left(-\frac{21}{49}+\frac{26}{49}\right)\)
\(=\frac{3}{7}.\frac{10}{91}-\frac{7}{13}.\frac{5}{49}\)
\(=\frac{30}{637}-\frac{5}{91}=\frac{30}{637}-\frac{35}{637}=\frac{-5}{637}\)
a, A = ( 1/3 + 12/67 + 13/41 ) - ( 79/67 - 28/41 )
A = (\(\frac13\) + \(\frac{12}{67}\) + \(\frac{13}{41}\)) - (\(\frac{79}{67}\) - \(\frac{28}{41}\))
A = \(\frac13\) + \(\frac{12}{67}\) + \(\frac{13}{41}\) - \(\frac{79}{67}\) + \(\frac{28}{41}\)
A = - (\(\frac{79}{67}-\frac{12}{67}\)) + (\(\frac{13}{41}\) + \(\frac{28}{41}\))
A = - 1 + 1 + \(\frac13\)
A = 0 + \(\frac13\)
A = \(\frac13\)
b, B = 3/4×7 + 3/7×10 + 3/10×13 + ......+ 3/73×76
B = \(\frac{3}{4\times7}\) + \(\frac{3}{7\times10}\) + \(\frac{3}{10\times13}\) + ... + \(\frac{3}{73\times76}\)
B = \(\frac14-\frac17\) + \(\frac17-\frac{1}{10}\) + ... + \(\frac{1}{73}-\frac{1}{76}\)
B = \(\frac14\) - \(\frac{1}{76}\)
B = \(\frac{19}{76}-\) \(\frac{1}{76}\)
B = \(\frac{18}{76}\)
B = \(\frac{9}{38}\)
a) Ư(a)={1;3;5;9;15;45}
b) Ư(a)={1;7;11;77}
c) Ư(a)={1;2;4;5;10;13;20;25;26;50;52;65;100;130;260;325;650;1300}
\(\dfrac{\dfrac{3}{4}-\dfrac{3}{5}+\dfrac{3}{7}+\dfrac{3}{11}}{\dfrac{13}{4}-\dfrac{13}{5}+\dfrac{13}{7}-\dfrac{13}{11}}\\ =\dfrac{\dfrac{1311}{1540}}{\dfrac{2041}{1540}}\\ =\dfrac{1311}{2041}\)
`-3/3*15/13-3/7*11/13-3/7`
`-1*15/13-3/7*11/13-3/7`
`=-3/7:3/7*15/13-3/7*11/13-3/7`
`=-3/7*35/13-3/7*11/13-3/7`
`=-(3/7*35/13+3/7*11/13+3/7)`
`=-3/7(35/13+11/13+1)`
`=-3/7*59/13`
`=-177/91`
−3/3∗15/13−3/7∗11/13−3/7−3/3∗15/13−3/7∗11/13−3/7
−1∗15/13−3/7∗11/13−3/7−1∗15/13−3/7∗11/13−3/7
=−3/7:3/7∗15/13−3/7∗11/13−3/7=−3/7:3/7∗15/13−3/7∗11/13−3/7
=−3/7∗35/13−3/7∗11/13−3/7=−3/7∗35/13−3/7∗11/13−3/7
=−(3/7∗35/13+3/7∗11/13+3/7)=−(3/7∗35/13+3/7∗11/13+3/7)
=−3/7(35/13+11/13+1)=−3/7(35/13+11/13+1)
=−3/7∗59/13=−3/7∗59/13
=−177/91=−177/91