How do you solve #x+ \frac { 17} { 6} = \frac { 17} { 5}#?

1 Answer
smendyka
Jan 25, 2018

See a solution process below:

Explanation:

Subtract #color(red)(17/6)# from each side of the equation to solve for #x# while keeping the equation balanced:

#x + 17/6 - color(red)(17/6) = 17/5 - color(red)(17/6)#

#x + 0 = 17/5 - color(red)(17/6)#

#x = 17/5 - color(red)(17/6)#

We can now put the fractions on the right over common denominators by multiplying them each by the appropriate form of #1#. This will allow us to subtract the fractions:

#x = (6/6 xx 17/5) - (5/5 xx color(red)(17/6))#

#x = (6 xx 17)/30 - (5 xx color(red)(17))/30#

#x = ((6 xx 17) - (5 xx color(red)(17)))/30#

#x = ((6 - 5)color(red)(17))/30#

#x = (1 xx color(red)(17))/30#

#x = 17/30#

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