Question

1995/1997 x 1990/1993 x 1997/1994 x 1993/1995 x 997/995

Answer 1

\(\dfrac{1995}{1997}\) `xx` \(\dfrac{1990}{1993}\) `xx` \(\dfrac{1997}{1994}\) `xx` \(\dfrac{1993}{1995}\) `xx` \(\dfrac{997}{995}\)

\(=\dfrac{1995\times1990\times1997\times1993}{1997\times1993\times1994\times1995}\times\dfrac{997}{995}\)

\(=\dfrac{1990}{1994}\times\dfrac{997}{995}\)

\(=\dfrac{995\times2\times997}{997\times2\times995}\)

\(=1\)

Answer 2

`1995/1997 xx 1990/1993 xx 1997/1994 xx 1993/1995 xx 997/995`

`= (1995xx1990xx1997xx1993)/(1997xx1993xx1994xx1995) xx 997/995`

`= 1990/1994 xx 997/995`

`= (995 xx 2)/(997 xx2) xx 997/995`

`= (995 xx2 xx 997)/(997 xx 2 xx 995)`

`= 1`

Answer 3

=1