Question

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

• A. \( \frac{13}{12} \)
• B. \( \frac{14}{12} \)
• C. \( \frac{19}{12} \)
• 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 find the value of \( \frac{5}{6} + \frac{3}{4} \), we must first find a common denominator for the fractions. The denominators are 6 and 4. The least common multiple (LCM) of 6 and 4 is 12. We will convert both fractions to have this common denominator.

\[ \frac{5}{6} \] can be rewritten as \[ \frac{5 \times 2}{6 \times 2} = \frac{10}{12} \].

\[ \frac{3}{4} \] can be rewritten as \[ \frac{3 \times 3}{4 \times 3} = \frac{9}{12} \].

Now, we add the two fractions:

\[ \frac{10}{12} + \frac{9}{12} = \frac{19}{12} \]

Thus, the correct value is \[ \frac{19}{12} \].