Question

Find the value of \( \frac{5}{6} + \frac{3}{4} \).

• A. \( \frac{19}{12} \)
• B. \( \frac{14}{12} \)
• C. \( \frac{13}{12} \)
• D. \( \frac{8}{12} \)

Hint:

When adding fractions, first find the least common denominator (LCD) and then rewrite the fractions.

Answer 1

The Correct Option is C

To add the fractions \( \frac{5}{6} \) and \( \frac{3}{4} \), we need to find the least common denominator (LCD). The LCD of 6 and 4 is 12. Rewrite the fractions with denominator 12: \[ \frac{5}{6} = \frac{10}{12}, \quad \frac{3}{4} = \frac{9}{12} \] Now, add the fractions: \[ \frac{10}{12} + \frac{9}{12} = \frac{19}{12} \] Thus, the value of \( \frac{5}{6} + \frac{3}{4} \) is \( \frac{19}{12} \). Therefore, the correct answer is option (1).