2 2/10+4/15

To add \(2 \frac{2}{10}\) and \(\frac{4}{15}\), first convert \(2 \frac{2}{10}\) to an improper fraction.

1. Convert \(2 \frac{2}{10}\) to an improper fraction: \[ 2 \frac{2}{10} = 2 + \frac{2}{10} = \frac{20}{10} + \frac{2}{10} = \frac{22}{10} \] Now simplify \(\frac{22}{10}\): \[ \frac{22}{10} = \frac{11}{5} \]

2. Now, we need to add \(\frac{11}{5}\) and \(\frac{4}{15}\). To do that, we need a common denominator. The least common multiple of \(5\) and \(15\) is \(15\).

3. Convert \(\frac{11}{5}\) to have a denominator of \(15\): \[ \frac{11}{5} = \frac{11 \times 3}{5 \times 3} = \frac{33}{15} \]

4. Now, add the fractions: \[ \frac{33}{15} + \frac{4}{15} = \frac{33 + 4}{15} = \frac{37}{15} \]

So, the result of \(2 \frac{2}{10} + \frac{4}{15}\) is \(\frac{37}{15}\) or \(2 \frac{7}{15}\) in mixed number form.