## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

The reciprocal of the sum is: $\frac{1}{2+4}=\frac{1}{6}$ The sum of the reciprocals is: $\frac{1}{2}+\frac{1}{4}=\frac{2}{4}+\frac{1}{4}=\frac{3}{4}$ $\frac{1}{6}\ne\frac{3}{4}$
If we take 2 and 4 and their reciprocals $\frac{1}{2}$ and $\frac{1}{4}$ The reciprocal of the sum is: $\frac{1}{2+4}=\frac{1}{6}$ The sum of the reciprocals is: $\frac{1}{2}+\frac{1}{4}=\frac{2}{4}+\frac{1}{4}=\frac{3}{4}$ $\frac{1}{6}\ne\frac{3}{4}$