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\(S=\frac{3}{5.7}+\frac{3}{7.9}+.....+\frac{3}{59.61}\)
\(=\frac{3}{2}.\left(\frac{2}{5.7}+\frac{2}{7.9}+......+\frac{2}{59.61}\right)\)
=\(\frac{3}{2}.\left(\frac{7-5}{5.7}+\frac{9-7}{7.9}+......+\frac{61-59}{59.61}\right)\)
=\(\frac{3}{2}.\left(\frac{7}{5.7}-\frac{5}{5.7}+\frac{9}{7.9}-\frac{7}{7.9}+.....+\frac{61}{59.61}-\frac{59}{59.61}\right)\)
=\(\frac{3}{2}.\left(\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+.....+\frac{1}{59}-\frac{1}{61}\right)\)
=\(\frac{3}{2}.\left(\frac{1}{5}-\frac{1}{61}\right)\)
=\(\frac{3}{2}.\frac{56}{305}\)
=\(\frac{84}{305}\)
a) 72/45 x 35/36= 8/5 x 35/36 =280/180=14/9.
b)1/2:3/4+1/6:3/4 =(1/2+1/6) : 3/4 =8/12:3/4 = 24/36=2/3
c) 2/3x4/5+1/3=2/3+1/3x4/5+1/3=4/3x4/15=16/45.
Nếu sai thông cảm cho mình nhé. Bạn ko k cũng ko sao đâu.
\(17\times109-17\times53+56\times96-13\times56\)
\(=17\times\left(109-53\right)+56\times\left(96-13\right)\)
\(=17\times56+56\times83\)
\(=56\times\left(17+83\right)\)
\(=56\times100\)
\(=5600\)
\(8\times27\times3+2\times31\times12+6\times12\times4\)
\(=24\times27+24\times31+24\times12\)
\(=24\times\left(27+31+12\right)\)
\(=24\times70\)
\(=1680\)
\(15\times47+15\times33+60\times39+60\times41\)
\(=15\times\left(47+33\right)+60\times\left(39+41\right)\)
\(=15\times80+60\times80\)
\(=80\times\left(15+60\right)\)
\(=80\times75\)
\(=6000\)
\(97\times59-59\times31-66\times49\)
\(=59\times\left(97-31\right)-66\times49\)
\(=59\times66-66\times49\)
\(=66\times\left(59-49\right)\)
\(=66\times10\)
\(=660\)
Học tốt
a) \(\dfrac{3}{7}\)
b)\(\dfrac{9}{4}\)
c)\(\dfrac{1}{3}\)
d)\(\dfrac{41}{32}\)
e)\(\dfrac{73}{60}\)
\(304\times3+304\times5+304\times2\)
\(=304\times\left(3+5+2\right)\)
\(=304\times10\)
\(=3040\)
Ta có:304×3+304×5+304×2
=304×(3+5+2) =304×(3+5+2)
=304×10 =304×10
=3040 =3040