To add the fractions \( \frac{3}{8} \) and \( \frac{5}{6} \), we first need to find a common denominator.
The denominators are 8 and 6. The least common multiple (LCM) of these two numbers is 24.
Next, we convert each fraction to have the common denominator of 24:
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Convert \( \frac{3}{8} \): \[ \frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24} \]
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Convert \( \frac{5}{6} \): \[ \frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24} \]
Now we can add the two fractions: \[ \frac{9}{24} + \frac{20}{24} = \frac{9 + 20}{24} = \frac{29}{24} \]
The result \( \frac{29}{24} \) is an improper fraction and can also be expressed as a mixed number. To convert it:
- 29 divided by 24 gives us 1 with a remainder of 5.
- Thus, \( \frac{29}{24} = 1 \frac{5}{24} \).
So the final answer is: \[ 1 \frac{5}{24} \]
In the format you requested: \[ [1] [5]/[24] \]