How do you solve #\frac { 1} { 2} x + \frac { 1} { 4} = \frac { 3} { 5}#?

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Answer 1 · 2016-11-26T14:28:12

#x = 7/10#

First, get all of the fractions over a common denominator. In this case, #20# is a common denominator:

#10/10 * 1/2 x + 5/5 * 1/4 = 4/4 * 3/5#

#10/20x + 5/20 = 12/20#

Next solve for #x# using the necessary mathematics while keeping the equation balanced:

#10/20x + 5/20 - 5/20 = 12/20 - 5/20#

#10/20x = 7/20#

#20/10*10/20x = 20/10 * 7/20#

#x = 7/10#