How do you solve #\frac{5}{2} = \frac{x + 1}{4}#?

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Answer 1 · 2018-03-11T10:29:36

#x=9#

#5/2=(x+1)/4#

#:.(x+1)/4=5/2#

by cross multiplication:-

#:.2(x+1)=4xx5#

#:.2x+2=20#

#:.2x=20-2#

#:.2x=18#

#:.x=cancel18^9/cancel2^1#

#:.x=9#
~~~~~~~~~~~~~

check by substituting # x=9#

#:.5/2=(x+1)/4#

#:.5/2=((9)+1)/4#

#:.5/2=cancel10^5/cancel4^2#

#:.5/2=5/2#