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1995 * 1994 - 1 / 1993 * 1995 + 1994
= 1995 * 1994 - 1 / ( 1994 -1 ) * 1995 + 1994
= 1995 * 1994 - 1 / 1994 * 1995 - 1995 + 1994
= 1995 * 1994 - 1 / 1994 * 1995 - 1
= 1
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a) Ta có \(\frac{1.2+2.4+3.6+4.8+5.10}{3.4+6.8+9.12+12.16+15.20}\)
= \(\frac{1.2+1.2.2.2+1.3.2.3+1.4.2.4+1.5.2.5}{3.4+3.2.4.2+3.3.4.3+3.4.4.4+3.5.4.5}\)
= \(\frac{1.2+1.2.4+1.2.9+1.2.16+1.2.25}{3.4+3.4.4+3.4.9+3.4.16+3.4.25}\)
= \(\frac{1.2.\left(1+4+9+16+25\right)}{3.4.\left(1+4+9+16+25\right)}\)
= \(\frac{1.2.55}{3.4.55}\)
= \(\frac{1.2.55}{3.2.2.55}\)
= \(\frac{1}{3.2}\)
= \(\frac{1}{6}\)
b) \(\frac{111111}{666665}=\frac{111111}{666665}\)
(dấu "." là dấu "x")
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a: =3990-(463*72-39^2):15
=3990-2121=1869
b: =1995-963-172=860
c: =33/11-7/11=26/11
d: =3/2+5=13/2
`@` `\text {Answer}`
`\downarrow`
`a,`
`3990 - (463 \times 72 - 39 \times 39) \div 15`
`= 3990 - (33336 - 1521) \div 15`
`= 3990 - 31815 \div 15`
`= 3990 - 2121`
`= 1869`
`b,`
`1995 - 321 \times 3 - 6020 \div 35`
`= 1995 - 963 - 172`
`= 1032 - 172`
`= 860`
`c,`
`3 - 7/11`
`= 33/11 - 7/11`
`= 26/11`
`d,`
`1/4 \div 1/6 + 5`
`= 1/4 \times 6 + 5`
`= 3/2 + 5`
`= 13/2`
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\(\frac{1997x1996-1}{1995x1997+1996}\)
\(=\frac{1995x1997+1997-1}{1995x1997+1996}\)
\(=\frac{1995x1997+1996}{1995x1997+1996}\)
\(=1\)
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A) 34*34 PHẦN 33*35=1156/1155. VẬY PHÂN SỐ ĐÓ LỚN HƠN 1
B)1991*1999 PHẦN 1995*1995=3980009/3980025. VẬY PHÂN SỐ ĐÓ BÉ HƠN 1
= 1/5 x (1/10 - 1/15 + 1/15 - 1/20 + ... + 1/1995 -1/2000 )
=1/5 . (1/10 -1/2000)
=1/5 .199/2000
=199/10000