tính nhanh
a)\(\frac{1995}{1996}\cdot\frac{19961996}{19311931}\cdot\frac{193119311931}{199519951995}\) b)\(\frac{1313}{2121}\cdot\frac{165165}{143143}\cdot\frac{424242}{151515}\)
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\(a,\frac{1995}{1996}.\frac{19961996}{19311931}.\frac{193119311931}{199519951995}\) \(c,\frac{1997.1996-1}{1995.1997+1996}\)
\(=\frac{1995}{1996}.\frac{1996}{1931}.\frac{1931}{1995}\) \(=\frac{1997.\left(1995+1\right)-1}{1995.1997+1996}\)
\(=\frac{1995.1996.1931}{1996.1931.1995}\) \(=\frac{1997.1995+1997-1}{1997.1995+1996}\)
\(=1\) \(=\frac{1997.1995+1996}{1995.1997+1996}\)
\(=1\)
Ý (a) giống ý (b)
Ý (c) giống ý (d)
TA CÓ:
a; 1313/2121=13/21 165165/143143=165/143 424242/151515=42/15
=> 13/21 x 165/143 x 42/15=13 x 165 x 42/21 x 143 x 15=22/11=2
b,1995/1995 x 19961996/19931993 x 199319931993/199519951995
=1 x 1996/1993 x 1993/1995
=1 x 1996/1995
=1996/1995
a, 1313/2121 x 165165/143143 x 424242/151515
=13/21 x 165/143 x 13/5
=2
a) 1313/2121 . 165165/143143 . 424242/151515
= 13/21 . 15/13 . 14/5
= 2
Ps: Rút gọn tới tối giản r tính dễ hơn ế. ;)
\(\left(\frac{151515}{60606}+\frac{151515}{121212}+\frac{151515}{202020}+\frac{151515}{303030}+\frac{151515}{424242}\right)\times\frac{28}{15}\)
\(=\left(\frac{5}{2}+\frac{5}{4}+\frac{3}{4}+\frac{1}{2}+\frac{5}{14}\right)\times\frac{28}{15}\)
\(=\frac{75}{14}\times\frac{28}{15}\)
\(=10\)
= ( 1/4 + 5/4 + 3/4 + 1/2 + 5/14) . 28/15
= [ 9/4 +( 7/14 + 5/14)] . 28/15
= (9/4 + 6/7) . 28/15
= 87/28 . 28/15 = 87/15 = 29/5
\(\frac{1}{2}\cdot\frac{1}{3}+\frac{1}{3}\cdot\frac{1}{4}+\frac{1}{4}\cdot\frac{1}{5}+\frac{1}{5}\cdot\frac{1}{6}+\frac{1}{6}\cdot\frac{1}{7}+\frac{1}{7}\cdot\frac{1}{8}+\frac{1}{8}\cdot\frac{1}{9}\)
\(=\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}+\frac{1}{6\cdot7}+\frac{1}{7\cdot8}+\frac{1}{8\cdot9}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{8}-\frac{1}{9}\)
\(=\frac{1}{2}-\frac{1}{9}=\frac{7}{18}\)
\(\frac{1}{2}\cdot\frac{1}{3}+\frac{1}{3}\cdot\frac{1}{4}+...+\frac{1}{8}\cdot\frac{1}{9}\)
\(=\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+...+\frac{1}{8\cdot9}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{8}-\frac{1}{9}\)
\(=\frac{1}{2}-\frac{1}{9}\)
* LÀM NỐT *
#Louis
\(\frac{1995}{1996}.\frac{19961996}{19311931}.\frac{19311931}{19951995}=\frac{1995}{1996}.\frac{1996}{1931}.\frac{1931}{1995}=1\)
\(\frac{1313}{2121}.\frac{165165}{143143}.\frac{424242}{151515}=\frac{13}{21}.\frac{165}{143}.\frac{42}{15}=\frac{1}{1}.\frac{11}{11}.\frac{2}{1}=2\)
a)=1
b)=2
ủng hộ mk nha