To add the fractions \( \frac{3}{4} \) and \( \frac{5}{6} \), we first need to find a common denominator.
The denominators are 4 and 6. The least common multiple (LCM) of 4 and 6 is 12.
Now we convert each fraction to have a denominator of 12:
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For \( \frac{3}{4} \): \[ \frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12} \]
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For \( \frac{5}{6} \): \[ \frac{5}{6} = \frac{5 \times 2}{6 \times 2} = \frac{10}{12} \]
Now we can add these two fractions: \[ \frac{9}{12} + \frac{10}{12} = \frac{9 + 10}{12} = \frac{19}{12} \]
So, \( \frac{3}{4} + \frac{5}{6} = \frac{19}{12} \).
Therefore, you can fill in the blanks as follows: \[ \text{[19]; [19]/[12]} \]