To add the fractions \( \frac{4}{5} \) and \( \frac{5}{15} \), we first need a common denominator.
The least common multiple (LCM) of 5 and 15 is 15. So we will convert \( \frac{4}{5} \) to an equivalent fraction with a denominator of 15.
We can do this by multiplying both the numerator and denominator of \( \frac{4}{5} \) by 3:
\[ \frac{4}{5} = \frac{4 \times 3}{5 \times 3} = \frac{12}{15} \]
Now we can add the two fractions:
\[ \frac{12}{15} + \frac{5}{15} = \frac{12 + 5}{15} = \frac{17}{15} \]
Now, \( \frac{17}{15} \) is an improper fraction. We can convert this to a mixed number:
\[ 17 \div 15 = 1 \quad \text{(whole number)} \] \[ 17 - 15 = 2 \quad \text{(remainder)} \]
Thus, we can express \( \frac{17}{15} \) as:
\[ 1 \frac{2}{15} \]
Thus, the answer in the format requested is:
\[ 1 \quad 2 \quad 15 \]
So the final answer is:
1, 2, 15
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