Tính bằng cách thuận tiện nhất:
\(\frac{234.76+117.48+234.245}{1+5+9+...+193+197}=\).....
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197 x 85 + 197 x 14 + 197 = 197 x (85 + 14 + 1) = 197 x 100 = 197
1-2-3+4+5-6-7+8+...+197-198-199+200
=(1-2-3+4)+(5-6-7+8)+...+(197-198-199+200)
=0+0+...+0
=0
\(\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{4}{6}+\frac{9}{12}+\frac{16}{20}=\left(\frac{1}{3}+\frac{4}{6}\right)+\left(\frac{1}{4}+\frac{9}{12}\right)+\left(\frac{1}{5}+\frac{16}{20}\right)\)
\(=1+1+1=3\)
Ta có\(\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{4}{6}+\frac{9}{12}+\frac{16}{20}=\left(\frac{1}{3}+\frac{4}{6}\right)+\left(\frac{1}{4}+\frac{9}{12}\right)+\left(\frac{1}{5}+\frac{16}{20}\right)\)
\(=\left(\frac{2+4}{6}\right)+\left(\frac{3+9}{12}\right)+\left(\frac{4+16}{20}\right)\)
\(=\frac{6}{6}+\frac{12}{12}+\frac{20}{20}\)
\(=1+1+1\)
\(=3\)
\(\left(\dfrac{1}{2}+\dfrac{1}{4}\right)\times\left(9\times5-5\times9\right)=\left(\dfrac{1}{2}-\dfrac{1}{4}\right)\times0=0\)
1+2+3+...+9
=(1+9)+(2+8)+...+5
=10+10+...+5
=10.4+5
=45
HT
\(\dfrac{5}{9}\times\dfrac{5}{11}+\dfrac{5}{11}\times\dfrac{4}{9}\)
\(=\left(\dfrac{5}{9}+\dfrac{4}{9}\right)\times\dfrac{5}{11}\)
\(=1\times\dfrac{5}{11}\)
\(=\dfrac{5}{11}\)
#NoSimp
\(\dfrac{5}{9}\) \(\times\) \(\dfrac{5}{11}\) + \(\dfrac{5}{11}\) \(\times\) \(\dfrac{4}{9}\)
= \(\dfrac{5}{11}\) \(\times\) ( \(\dfrac{5}{9}\) + \(\dfrac{4}{9}\))
= \(\dfrac{5}{11}\) \(\times\) \(\dfrac{9}{9}\)
= \(\dfrac{5}{11}\)
234*(76+24+245) 234*345
= __________________= __________=
4950 4950
117*69*10. 39*3*3*23. 39*23
= ____________= ____________= ______
99*5*10. 3*11*3*5. 11*5
897
= _____.
55
15678+36736=