How do you solve rational equations $1/2 + 1/4 = 1/x$ ?

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Answer 1 · 2016-01-05T16:51:54

$x = 4/3$

first thing to do is simplify the left hand side of the equation by adding the fractions.

$1/2 + 1/4 = 2/4 + 1/4 = 3/4$

$rArr 3/4 = 1/x$

and cross-multiplying gives 3x = 4

now divide both sides by 3

$rArr x = 4/3$

How do you solve rational equations 1/2 + 1/4 = 1/x1/2 + 1/4 = 1/x?