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Answer 1 · 2016-12-02T05:33:29

$x=81/16$

$2/3x = 27/8$

The term containing $x$ is isolated. Its coefficient is $2/3$ . Multiply by $3/2$ , the reciprocal of $2/3$ , to isolate $x$ .

$2/3x xx 3/2 = 27/8 xx 3/2$

Use the commutative and associative properties of multiplication to group the reciprocal with the coefficient.

$(2/3xx3/2)x = 27/8 xx 3/2$

When multiplying fractions, we follow $a/bxxc/d = (ac)/(bd)$

$(2xx3)/(3xx2)x = (27xx3)/(8xx2)$

$=>6/6x = 81/16$

$=>1x = 81/16$

$:.x=81/16$