Simplify: (7/9) + (4/6)

To simplify the expression ( \left(\frac{7}{9}\right) + \left(\frac{4}{6}\right) ), it's important to first have a common denominator before performing the addition.

Begin by simplifying ( \frac{4}{6} ) since both the numerator and denominator share a common factor of 2. This simplifies to ( \frac{2}{3} ).

Next, find a common denominator for ( \frac{7}{9} ) and ( \frac{2}{3} ). The denominators are 9 and 3. The least common multiple of 9 and 3 is 9.

Now, convert ( \frac{2}{3} ) to a fraction with a denominator of 9. This is done as follows:

[

\frac{2}{3} = \frac{2 \times 3}{3 \times 3} = \frac{6}{9}

]

Now, you can add the two fractions:

[

\frac{7}{9} + \frac{6}{9} = \frac{7 + 6}{9} = \frac{13}{9}

]

Finally, convert (