The sum of the fractions \(\frac{-2}{3}, \frac{5}{6}\) and \(\frac{3}{7}\) is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → \(\frac{25}{42}\)
Fractions with different denominators are added after writing each over the LCM of the denominators; the LCM of 3, 6 and 7 is 42.
\(\displaystyle -\frac{2}{3}=-\frac{28}{42}\), \(\displaystyle \frac{5}{6}=\frac{35}{42}\), \(\displaystyle \frac{3}{7}=\frac{18}{42}\)
Sum \(\displaystyle =\frac{-28+35+18}{42}=\frac{25}{42}\)