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Why should we clear fractions when solving linear equations and inequalities?

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Oddman answered
Many people find it easier not to have to work with fractions.
In many cases, clearing fractions can be an unnecessary extra step.  Example   x + 3/4 > 1/3   12x + 9 > 4    (multiply by 12 to clear fractions)   12x > -5    (subtract 9)   x > -5/12    (divide by 12. Didn't we just multiply by 12?) Alternatively,   x > 1/3 - 3/4    (subtract 3/4 and you're there)   x > -5/12

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