12. \( \frac{50}{6}+\frac{3}{7}<\frac{5}{6} \)

To tackle this inequality, first convert the fractions to a common denominator. The least common multiple of 6 and 7 is 42. So, the first fraction becomes \( \frac{50}{6} = \frac{350}{42} \) and the second becomes \( \frac{3}{7} = \frac{18}{42} \). Now, adding them gives you \( \frac{350 + 18}{42} = \frac{368}{42} \). Simplifying \( \frac{5}{6} \) to have the same denominator gives us \( \frac{5}{6} = \frac{35}{42} \). Now we can compare: \( \frac{368}{42} < \frac{35}{42} \) isn’t true since 368 is greater than 35. Thus, the original statement is false! Remember, always ensure fractions have the same denominator before adding or comparing, or you might find yourself lost in the numbers!