Tính nhanh
A= 4/3 x 9/8 x 16/15 x ... 81/80 x 100/99
Tính A
mình đang cần gấp
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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) \(\frac{19}{20}\times\frac{13}{21}+\frac{9}{20}\times\frac{8}{21}\)
\(=\frac{19\times13}{20\times21}+\frac{9\times8}{20\times21}\)
\(=\frac{247}{420}+\frac{72}{420}\)
\(=\frac{319}{420}\)
a,\(\frac{4}{3}\)x \(\frac{9}{8}\)x \(\frac{16}{15}\)x \(\frac{25}{24}\)
= \(\frac{5}{3}\)
b, \(\frac{4}{3}\)x \(\frac{9}{8}\)x \(\frac{16}{15}\)x \(\frac{25}{24}\)x \(\frac{36}{35}\)x \(\frac{49}{48}\)x \(\frac{64}{63}\)x \(\frac{81}{80}\)
= \(\frac{9}{5}\)
a. \(495:\left(3\times5\times11\right)\)
\(=\left(3\times3\times5\times11\right):\left(3\times5\times11\right)\)
\(=3\times3\times5\times11:3:5:11\)
\(=\left(3:3\right)\times\left(5:5\right)\times\left(11:11\right)\times3\)
\(=1\times1\times1\times3=3\)
b. \(\left(15\times18\times24\right):\left(5\times9\times12\right)\)
\(=15\times18\times24:5:9:12\)
\(=\left(15:5\right)\times\left(18:9\right)\times\left(24:12\right)\)
\(=3\times2\times2\)
\(=12\)
c. \(\left(27+45+18+81\right):9\)
\(=\left(27:9\right)+\left(45:9\right)+\left(18:9\right)+\left(81:9\right)\)
\(=3+5+2+9\)
\(=19\)
a 495 : (3 x 5 x 11)
=495 : 165
= 3
b (15 x 18 x 24) : (5 x 9 x 12)
= (270 x 24) : (45 x 12)
= 6480 : 540
12
c (27 + 45 + 18 + 81) : 9
=171 : 9
=19
a:Sửa đề: 1x3+2x4+...+99x101
\(=1\times\left(1+2\right)+2\times\left(2+2\right)+\cdots+99\times\left(99+2\right)\)
\(=\left(1\times1+2\times2+\cdots+99\times99\right)+2\times\left(1+2+\cdots+99\right)\)
\(=\frac{99\times\left(99+1\right)\times\left(2\times99+1\right)}{6}+2\times\frac{99\times100}{2}\)
\(=\frac{99\times100\times199}{6}+99\times100=33\times50\times199+99\times100\)
\(=33\times50\times\left(199+3\times2\right)=33\times50\times205=338250\)
b: \(\frac89\times\frac{15}{16}\times\ldots\times\frac{2499}{2500}\)
\(=\left(1-\frac19\right)\times\left(1-\frac{1}{16}\right)\times\ldots\times\left(1-\frac{1}{2500}\right)\)
\(=\left(1-\frac13\right)\times\left(1-\frac14\right)\times\ldots\times\left(1-\frac{1}{50}\right)\times\left(1+\frac13\right)\times\left(1+\frac14\right)\times\ldots\times\left(1+\frac{1}{50}\right)\)
\(=\frac23\times\frac34\times\ldots\times\frac{49}{50}\times\frac43\times\frac54\times\ldots\times\frac{51}{50}=\frac{2}{50}\times\frac{51}{3}=\frac{17}{25}\)