Lauren L.

# 1/x-1/2=2-x/2x

Directions say to prove the algebraic identity by starting with the Left hand side expression and supplying a sequence of equivalent expressions that ends with the right hand expressions

## 2 Answers By Expert Tutors

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Math Tutoring - Algebra and Calculus (all levels)

Lauren L.

Thank you so much, this was so helpful! :)

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11/18/12

Michael B.

Also note that a common denominator (not necessarily the smallest, tho) can be found by cross-multiplying the fraction:

1/x - 1/2  ==>  (1*2 - 1*x) / (2 * x) = (2 - x)/2x

To get the smallest, then you would just need to simplify the expression.  In thise case, there is no simplification possible as it is already the smallest common denominator.

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11/18/12