Bài 1: a,37/53×23/48×535353/373737×242424/232323
b,1997×1996-995/1995×1997+1002
c,1995×1997-1/1996×1995+1994
/ là phần nhé giúp e câu này và ghi hết cách làm ra nha
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) \(\dfrac{1997x1996-1}{1995x1997+1996}=\dfrac{1997x\left(1995+1\right)-1}{1995x1997+1996}\)
\(=\dfrac{1997x1995+1997-1}{1995x1997+1996}=\dfrac{1997x1995+1996}{1995x1997+1996}=1\)
b) \(\dfrac{1997x1996-995}{1995x1997+1002}=\dfrac{1997x\left(1995+1\right)-995}{1995x1997+1002}\)
\(=\dfrac{1997x1995+1997-995}{1995x1997+1002}=\dfrac{1997x1995+1002}{1995x1997+1002}=1\)
\(\frac{1995x1996-1997}{1995x1994+1993}=\frac{1995x\left(1994+2\right)-1997}{1995x1994+1993}\)
\(=\frac{1995x1994+1995x2-1997}{1995x1994+1993}\)
\(=\frac{1995x1994+3990-1997}{1995x1994+1993}\)
\(=\frac{1995x1994+1993}{1995x1994+1993}\)
\(=1\)
\(\frac{1995.1996-1997}{1995.1994+1993}=\frac{1995.1996-1997}{1995.\left(1996-2\right)+1993}=\frac{1995.1996-1997}{1995.1996-1995.2+1993}\)
\(=\frac{1995.1996-1997}{1995.1996-3990+1993}=\frac{1995.1996-1997}{1995.1996-1997}=1\)
\(...=\dfrac{1998x1996+1996+1+1996-1}{\left(1997-1995\right)x1996}\)
\(=\dfrac{1998x1996+2x1996}{2x1996}=\dfrac{1996\left(1998+2\right)}{2x1996}=\dfrac{2000}{2}=1000\)
\(\dfrac{1995x1997-1}{1996x1995+1994}=\dfrac{1995x\left(1996+1\right)-1}{1996x1995+1994}\)
\(=\dfrac{1995x1996+1995-1}{1996x1995+1994}=\dfrac{1995x1996+1994}{1996x1995+1994}=1\)
\(\frac{1995\times1997-1}{1996\times1995+1994}\)
\(=\frac{1995\times\left(1996+1\right)-1}{1996\times1995+1994}\)
\(=\frac{1995\times1996+1995-1}{1996\times1995+1994}\)
\(=\frac{1995\times1996+1994}{1996\times1995+1994}\)
\(=1\)
\(\frac{1995.1997-1}{1996.1995+1994}\)
\(=\frac{1995.1996+1995-1}{1996.1995+1994}\)
\(=\frac{1995.1996+1994}{1996.1995+1994}=1\)
#
-\(\frac{1995\cdot1997-1}{1995\cdot1996+1994}\)
=\(\frac{1995\cdot\left(1996+1\right)-1}{1995\cdot1996+1994}\)
=\(\frac{1995\cdot1996+1995\cdot1-1}{1995\cdot1996+1994}\)
=\(\frac{1995\cdot1996+1994}{1995\cdot1996+1994}\)
=1
a)37/53x23/48x535353/373737x242424/232323
=37/53x23/48x53/37x24/23
=851/2544x1272/851
=1/2