1\3+7\6

To add the fractions \( \frac{1}{3} \) and \( \frac{7}{6} \), you first need a common denominator. The least common denominator (LCD) of 3 and 6 is 6.

Now, convert \( \frac{1}{3} \) to a fraction with a denominator of 6:

\[ \frac{1}{3} = \frac{1 \times 2}{3 \times 2} = \frac{2}{6} \]

Now you can add the two fractions:

\[ \frac{2}{6} + \frac{7}{6} = \frac{2 + 7}{6} = \frac{9}{6} \]

You can simplify \( \frac{9}{6} \) by dividing both the numerator and denominator by 3:

\[ \frac{9 \div 3}{6 \div 3} = \frac{3}{2} \]

So, \( \frac{1}{3} + \frac{7}{6} = \frac{3}{2} \).