What is the value of \(\frac{5}{8}+\frac{7}{12}-\frac{1}{3}\)?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \(\frac{7}{8}\)
Fractions with different denominators are added or subtracted after writing them over the LCM of the denominators. The LCM of 8, 12 and 3 is 24.
\(\displaystyle\frac{5}{8}=\frac{15}{24},\quad\frac{7}{12}=\frac{14}{24},\quad\frac{1}{3}=\frac{8}{24}\)
\(\displaystyle\frac{15+14-8}{24}=\frac{21}{24}\)
\(\displaystyle\frac{21}{24}=\frac{7}{8}\)