What is the value of \(\frac{2}{3}+\frac{3}{4}-\frac{5}{6}\)?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \(\frac{7}{12}\)
Fractions with different denominators are added or subtracted after writing them over a common denominator, the LCM of the denominators.
LCM of 3, 4 and 6 is 12
\(\displaystyle\frac{2}{3}=\frac{8}{12},\ \frac{3}{4}=\frac{9}{12},\ \frac{5}{6}=\frac{10}{12}\)
\(\displaystyle\frac{8+9-10}{12}=\frac{7}{12}\)