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\(\frac{1}{9\cdot10}+\frac{2}{10\cdot12}+\frac{3}{12\cdot15}+\frac{4}{15\cdot19}+\frac{5}{19\cdot24}+\frac{6}{24\cdot30}
\)
\(=\frac{1}{9}-\frac{1}{10}+\frac{1}{10}-\frac{1}{12}+\frac{1}{12}-\frac{1}{15}+\frac{1}{15}-\frac{1}{19}+\frac{1}{19}-\frac{1}{24}+\frac{1}{24}-\frac{1}{30}\)
\(=\frac{1}{9}-\frac{1}{30}\)
\(=\frac{10}{90}-\frac{3}{90}\)
\(=\frac{7}{90}\)
2 x 5 + 5 x 7 + 9 x 3
= 5 x ( 2 + 7 ) + 9 x 3
= 5 x 9 + 9 x 3
= 9 x ( 5 + 3 )
= 9 x 8
= 72
2x5+5x9+9x3 15:5+27:5+8:5
=9x5+(2+3) =(15+8+27):5
=9x5+5 =50:5
=9x5+5x1 =10
=5x(9+1) 9+9x3+18:2x6
=5x10 =1x9+9x3+9x6
=50 =9x(1+6+3)
=9x10
=90
Tính nhanh :
9 x 8 x 15 / 12 x 6 x 5 = ( 9 x 6 ) x ( 8 x 5 ) x 15 / 12
= 36 x 40 x 15 / 12
= 1440 x 15 / 12
= 21600 / 17280
Đáp số : 21600 / 17280.( mình chưa chắc ! )
\(17\times109-17\times53+56\times96-13\times56\)
\(=17\times\left(109-53\right)+56\times\left(96-13\right)\)
\(=17\times56+56\times83\)
\(=56\times\left(17+83\right)\)
\(=56\times100\)
\(=5600\)
\(8\times27\times3+2\times31\times12+6\times12\times4\)
\(=24\times27+24\times31+24\times12\)
\(=24\times\left(27+31+12\right)\)
\(=24\times70\)
\(=1680\)
\(15\times47+15\times33+60\times39+60\times41\)
\(=15\times\left(47+33\right)+60\times\left(39+41\right)\)
\(=15\times80+60\times80\)
\(=80\times\left(15+60\right)\)
\(=80\times75\)
\(=6000\)
\(97\times59-59\times31-66\times49\)
\(=59\times\left(97-31\right)-66\times49\)
\(=59\times66-66\times49\)
\(=66\times\left(59-49\right)\)
\(=66\times10\)
\(=660\)
Học tốt
\(\dfrac{3}{5}.\dfrac{5}{7}+\dfrac{12}{20}.\dfrac{2}{14}+\dfrac{9}{15}.\dfrac{1}{7}\)
\(=\dfrac{3}{7}+\dfrac{3}{35}+\dfrac{3}{35}\)
\(=\dfrac{3}{7}+\dfrac{6}{35}\)
\(=\dfrac{15}{35}+\dfrac{6}{35}\)
\(=\dfrac{21}{35}\)
\(=\dfrac{3}{5}\)
(2+4+6+8+...+100) x (15x3-15x2-15)
=(2+4+6+8+....+100)x(15x(3-2-1))
=(2+4+6+8+...+100)x(15x0)
=(2+4+6+8+...+100)x0
=0
1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19
=(1+19)+(2+18)+(3+17)+(4+16)+(5+15)+(6+14)+(7+13)+(8+12)+(9+11)+10
=20+20+20+20+20+20+20+20+20+10
=20×9+10
=180+10
=190
12/9 x 3/6 x 27/15
= 2/3 x 27/15
= 18/15
\(\dfrac{12}{9}.\dfrac{3}{6}.\dfrac{27}{15}=\dfrac{2}{3}.\dfrac{27}{15}=\dfrac{6}{5}\)