To add the fractions \( \frac{5}{6} \) and \( \frac{1}{4} \), we need a common denominator. The least common denominator (LCD) for 6 and 4 is 12.
Now, convert each fraction to have the common denominator of 12:
Convert \( \frac{5}{6} \): \[ \frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12} \]
Convert \( \frac{1}{4} \): \[ \frac{1}{4} = \frac{1 \times 3}{4 \times 3} = \frac{3}{12} \]
Now add the two fractions: \[ \frac{10}{12} + \frac{3}{12} = \frac{10 + 3}{12} = \frac{13}{12} \]
So, \( \frac{5}{6} + \frac{1}{4} = \frac{13}{12} \) or \( 1 \frac{1}{12} \) as a mixed number.
