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a) \(\frac{3}{16}+\frac{4}{15}+\frac{5}{16}+\frac{1}{15}\)
\(=\left(\frac{3}{16}+\frac{5}{16}\right)+\left(\frac{4}{15}+\frac{1}{15}\right)\)
\(=\frac{1}{2}+\frac{1}{3}\)
\(=\frac{5}{6}\)
b) \(\frac{6}{7}\times\frac{8}{15}\times\frac{7}{6}\times\frac{15}{16}\)
\(=\left(\frac{6}{7}\times\frac{7}{6}\right)\times\left(\frac{8}{15}\times\frac{15}{16}\right)\)
\(=1\times\frac{1}{2}=\frac{1}{2}\)
c) \(\frac{19}{20}\times\frac{13}{21}+\frac{9}{20}\times\frac{8}{21}\)
\(=\frac{19\times13}{20\times21}+\frac{9\times8}{20\times21}\)
\(=\frac{247}{420}+\frac{72}{420}\)
\(=\frac{319}{420}\)
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(2+4+...+16+18) x (45 x 3+ 5 x 45 - 90 x 4)
= A x (135 + 225 - 360)
= A x 0
= 0
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3/8 + 9/2 x 3/4 - 9/4 x 1/3
= 3/8 + 9/2 x 3/4 - 3/4
= 3/8 + (9/2 - 1) x 3/4
= 3/8 + 7/2 x 3/4
= 3/4 x 1/2 + 7/2 x 3/4
= 3/4 x ( 1/2 + 7/2 )
= 3/4 x 4
= 3
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3/8 + 9/2 x 3/4 - 9/4 x 1/3
= 3/8 + 9/2 x 3/4 - 3/4
= 3/8 + (9/2 - 1) x 3/4
= 3/4 x 1/2 + 7/2 x 3/4
= 3/4 x ( 1/2 + 7/2)
= 3/4 x 4
= 3
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2020 x 14 + 4040 x 16 + 6060 x 18
= 2020 x 14 + 2020 x 2 x 16 + 2020 x 3 x 18
= 2020 x 14 + 2020 x 32 + 2020 x 54
= 2020 x (14 + 32 + 54)
= 2020 x 100
= 202000
\(2020\times14+4040\times16+6060\times18\)
\(=2020\times14+2020\times2\times16+2020\times3\times18\)
\(=2020\times14+2020\times32+2020\times54\)
\(=2020\times\left(14+32+54\right)\)
\(=2020\times100\)
\(=202000\)
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\(\dfrac{9}{10}\times\left(\dfrac{11}{29}+\dfrac{2}{29}+\dfrac{16}{29}\right)=\dfrac{9}{10}\times\dfrac{29}{29}=\dfrac{9}{10}\times1=\dfrac{9}{10}\)
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a) \(\frac{27.45+55.27}{2+4+6+8+...+16+18}=\frac{27.\left(45+55\right)}{\left(2+18\right)+\left(16+4\right)+\left(14+6\right)+\left(12+8\right)}\)
\(=\frac{27.100}{20+20+20+20}=\frac{2700}{20.4}=\frac{2700}{80}=\frac{135}{4}\)
b) Lười
Làm giống câu a nhé
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35 x 18 - 9 x 70 + 100
= 70 x 9 - 9 x 70 + 100
= 0 + 100
= 100
16x9+18x2
=4x4x9+18x2
=4x36+36
=4x36+36x1
=36x(4+1)
=36x5=180
\(16\times9+18\times2=8\times2\times9+18\times2\)
\(=18\times\left(8+2\right)=18\times10=180\)