How do you solve #\frac { x } { 6} = \frac { 4} { 4}#?

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Answer 1 · 2018-01-30T15:48:20

See a solution process below:

Because #"anything"/"anything" = 1#, then #4/4 = 1# and we can rewrite the equation as:

#x/6 = 1#

Now, multiply each side of the equation by #color(red)(6)# to solve for #x# while keeping the equation balanced:

#color(red)(6) xx x/6 = color(red)(6) xx 1#

#cancel(color(red)(6)) xx x/color(red)(cancel(color(black)(6))) = 6#

#x = 6#

Another way to look at this is:

#x/6 = 1#

Because #"anything"/"anything" = 1#, then #6/6 = 1#

Therefore: #x = 6#