To add the fractions \( \frac{3}{8} \) and \( \frac{5}{6} \), we first need to find a common denominator. The least common multiple (LCM) of 8 and 6 is 24.
Next, we convert each fraction to an equivalent fraction with a 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 fraction \( \frac{29}{24} \) can be expressed as a mixed number:
- The whole number part is 1 (since \( 24 \) goes into \( 29 \) one time).
- The remainder is \( 29 - 24 = 5 \).
Therefore, \( \frac{29}{24} \) can be written as: \[ 1 \frac{5}{24} \]
Thus, in the format you requested: Whole number: 1 Numerator: 5 Denominator: 24
Final answer: 1, 5, 24
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