9/14+4/7

To add the fractions \( \frac{9}{14} \) and \( \frac{4}{7} \), we first need to have a common denominator. The denominator of the first fraction is 14, and the denominator of the second fraction is 7.

We can convert \( \frac{4}{7} \) to have a denominator of 14:

\[ \frac{4}{7} = \frac{4 \times 2}{7 \times 2} = \frac{8}{14} \]

Now we can add the two fractions:

\[ \frac{9}{14} + \frac{8}{14} = \frac{9 + 8}{14} = \frac{17}{14} \]

Thus, \( \frac{9}{14} + \frac{4}{7} = \frac{17}{14} \).

This can also be expressed as a mixed number:

\[ \frac{17}{14} = 1 \frac{3}{14} \]

So, the final answer is:

\[ \frac{17}{14} \quad \text{or} \quad 1 \frac{3}{14} \]