Simplify 1/x-1/a

Problem

1/x−1/a

Solution

1. Identify the common denominator for the two fractions, which is the product of the individual denominators x and a

2. Rewrite each fraction with the common denominator a*x by multiplying the numerator and denominator of the first fraction by a and the second by x

(1⋅a)/(x⋅a)−(1⋅x)/(a⋅x)

3. Combine the numerators over the single common denominator.

(a−x)/(a*x)

Final Answer

1/x−1/a=(a−x)/(a*x)

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