How do you solve #1/2+7x/10=13/20#?

1 Answer
Jul 28, 2015

Answer:

answer 1: #color(blue)(x=-137/2#
answer 2 :#color(blue)(x=3/14#

Explanation:

  1. Assuming that #7(x/10) #is a mixed fraction:
    #1/2 + 7(x/10) = 13/20#

Solving the mixed fraction:

#1/2 + (10*7 +x)/10 = 13/20#

#1/2 + (70 +x)/10 = 13/20#

The L.C.M of the expression is #20#

#(1*10)/(2*10) + ((70 +x)*2)/(10*2) = 13/20#

#10/cancel20 + (140+2x)/cancel20 = 13/cancel20#

#10 +140 +2x =13#

#2x =13-150#

answer 1: #color(blue)(x=-137/2#

  1. Taking #7x/10 # as a normal fraction:

#1/2 + 7x/10 = 13/20#

The L.C.M of the expression is #20#

#(1*10)/(2*10) + (7x*2)/(10*2) = 13/20#

#10/cancel20 + (14x)/cancel20 =13/cancel20#

#10+14x=13#
#14x=3#
answer 2 :#color(blue)(x=3/14#