Rút gọn:10*11+50*55+70*77/11*12+55*60+77*84
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1+2+3+4+5+6+7+8+9=45
10+20+39+40+50+60+70+80+90=459(Chắc bạn bấm nhầm 30->39)
11+22+33+44+55+66+77+88+99=495
\(\dfrac{x-9}{55}+\dfrac{x-10}{66}=\dfrac{x-11}{77}+\dfrac{x-12}{88}\\ \Leftrightarrow\left(\dfrac{x-9}{55}+\dfrac{1}{11}\right)+\left(\dfrac{x-10}{66}+\dfrac{1}{11}\right)-\left(\dfrac{x-11}{77}+\dfrac{1}{11}\right)-\left(\dfrac{x-12}{88}+\dfrac{1}{11}\right)=0\)
\(\Leftrightarrow\left(\dfrac{x-9}{55}+\dfrac{5}{55}\right)+\left(\dfrac{x-10}{66}+\dfrac{6}{66}\right)-\left(\dfrac{x-11}{77}+\dfrac{7}{77}\right)-\left(\dfrac{x-12}{88}+\dfrac{8}{88}\right)=0\)
\(\Leftrightarrow\dfrac{x-4}{55}+\dfrac{x-4}{66}-\dfrac{x-4}{77}-\dfrac{x-4}{88}=0\)
\(\Leftrightarrow\left(x-4\right)\left(\dfrac{1}{55}+\dfrac{1}{66}-\dfrac{1}{77}-\dfrac{1}{88}\right)=0\\ \Leftrightarrow x=4\left(vì.\dfrac{1}{55}+\dfrac{1}{66}-\dfrac{1}{77}-\dfrac{1}{88}\ne0\right)\)
11+22+33+44+55+66+77+88+99
= ( 11 + 88 ) + ( 22 + 77 ) + ( 33 + 66 ) + ( 44 + 55 ) + 99
= 99 + 99 + 99 + 99 + 99
= 99 x 5
= 495
10+20+30+40+50
= ( 10 + 40 ) + ( 20 + 30 ) + 50
= 50 + 50 + 50
= 50 x 3
= 150
K mình nha mình nhanh nhất đó!
\(\dfrac{30}{100}=\dfrac{30:10}{100:10}=\dfrac{3}{10}\)
\(\dfrac{55}{77}=\dfrac{55:11}{77:11}=\dfrac{5}{7}\)
\(\dfrac{234}{765}=\dfrac{234:9}{765:9}=\dfrac{26}{85}\)
\(\dfrac{8}{10000}=\dfrac{8:8}{10000:8}=\dfrac{1}{1250}\)
(11+99)+(22+88)+(33+77)+(44+66)+(55+55)=110+110+110+110+110=550
\(=\dfrac{10\cdot11+25\cdot10\cdot11+49\cdot10\cdot11}{11\cdot12+25\cdot11\cdot12+49\cdot11\cdot12}=\dfrac{10\cdot11}{11\cdot12}=\dfrac{10}{12}=\dfrac{5}{6}\)
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