How do you solve #\frac { 5} { 4} n - \frac { 5} { 8} = \frac { 2} { 8}#?

1 Answer
smendyka
Jul 30, 2017

See a solution process below:

Explanation:

Step 1) Add #color(red)(5/8)# to each side of the equation to isolate the #n# term while keeping the equation balanced:

#5/4n - 5/8 + color(red)(5/8) = 2/8 + color(red)(5/8)#

#5/4n - 0 = (2 + color(red)(5))/8#

#5/4n = 7/8#

Step 2) Multiply each side of the equation by #color(red)(4)/color(blue)(5)# to solve for #n# while keeping the equation balanced:

#color(red)(4)/color(blue)(5) xx 5/4n = color(red)(4)/color(blue)(5) xx 7/8#

#cancel(color(red)(4))/cancel(color(blue)(5)) xx color(blue)(cancel(color(black)(5)))/color(red)(cancel(color(black)(4)))n = cancel(color(red)(4))/color(blue)(5) xx 7/(color(red)(cancel(color(black)(8)))2)#

#n = 7/(5 xx 2)#

#n = 7/10#

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