Simplify 1/x+1/y

Problem

1/x+1/y

Solution

1. Identify the least common denominator for the two fractions, which is the product of the denominators x*y

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

(1⋅y)/(x⋅y)+(1⋅x)/(y⋅x)

3. Combine the numerators over the common denominator.

(y+x)/(x*y)

4. Rearrange the terms in the numerator to follow alphabetical order.

(x+y)/(x*y)

Final Answer

1/x+1/y=(x+y)/(x*y)

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