Originally Posted by

**Soroban** Hello, David Green!

Why make *two* problems out of it

. . and double your chances to make errors?

We have: .$\displaystyle \displaystyle \frac{3}{5} + \frac{1}{6} - \frac{2}{3}$

Determine the least common denominator: $\displaystyle 30.$

Convert the fractions to the LCD.

. . $\displaystyle \displaystyle \frac{3}{5}\cdot{\bf \frac{6}{6}} \;+\; \frac{1}{6}\cdot{\bf\frac{5}{5}} \;-\; \frac{2}{3}\cdot{\bf\frac{10}{10}} \;=\;\frac{18}{30} + \frac{5}{30} - \frac{20}{30}$

. . $\displaystyle \displaystyle =\;\frac{18 + 5 - 20}{30} \;=\;\frac{3}{30} \;=\;\frac{1}{10}$