(4/9+7/36)*36

To simplify the expression \((\frac{4}{9} + \frac{7}{36}) \times 36\), we can break it down into two steps:

1. First, find a common denominator for the fractions \(\frac{4}{9}\) and \(\frac{7}{36}\). The common denominator for 9 and 36 is 36.

   • Convert \(\frac{4}{9}\) to have a denominator of 36: \[ \frac{4}{9} = \frac{4 \times 4}{9 \times 4} = \frac{16}{36} \]

2. Now add \(\frac{16}{36}\) and \(\frac{7}{36}\): \[ \frac{16}{36} + \frac{7}{36} = \frac{16 + 7}{36} = \frac{23}{36} \]

3. Now multiply \(\frac{23}{36}\) by 36: \[ \frac{23}{36} \times 36 = 23 \]

Thus, the final result is: \[ \boxed{23} \]