Draw area models to make like units. Complete the equation to ad (2)/(5)+(5)/(6)=(2times 5)/(5times 16)+(5times 2)/(6times 15)+=underline ( )+underline ( )=underline ( )

To solve the equation $\frac{2}{5} + \frac{5}{6}$, we need to find a common denominator for the fractions. The least common multiple (LCM) of 5 and 6 is 30. We can rewrite the fractions with a denominator of 30:<br /><br />$\frac{2}{5} = \frac{2 \times 6}{5 \times 6} = \frac{12}{30}$<br /><br />$\frac{5}{6} = \frac{5 \times 5}{6 \times 5} = \frac{25}{30}$<br /><br />Now we can add the fractions:<br /><br />$\frac{12}{30} + \frac{25}{30} = \frac{12 + 25}{30} = \frac{37}{30}$<br /><br />So the completed equation is:<br /><br />$\frac{2}{5} + \frac{5}{6} = \frac{12}{30} + \frac{25}{30} = \frac{37}{30}$