How do you solve #3x/4 = 6/7#?

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Answer 1 · 2016-08-10T17:15:05

#x = 6/7# or perhaps #(x =8/7)??#

The format of the question is strange

The format of the question is strange because we usually do not work with mixed numbers in Algebra. (possibly a typo)

#3x/4 = 6/7#

If is correct like this we will first change to an improper fraction:

#(4xx3+x)/4 = 6/7 " "rArr" " (12x)/4 = 6/7#

Cross multiplying gives: #84x = 24#

#x = 24/84 = 2/7#
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The question may have been meant as:

#(3x)/4 = 6/7#

Cross multiplying gives

#21x = 24#

#x = 24/21 = 8/7#