How to solve the following using simplification of fractions with addition and subtraction?

To solve a problem using simplification of fractions with addition and subtraction, follow these steps:

1. Write down the fractions that you need to add or subtract.

2. Find a common denominator for the fractions. To do this, find the least common multiple (LCM) of the denominators of the fractions.

3. Rewrite each fraction with the common denominator.

4. Add or subtract the numerators of the fractions.

5. Simplify the resulting fraction by dividing both the numerator and the denominator by their greatest common factor.

6. If necessary, convert the fraction to a mixed number or a decimal.

7. Check your answer to make sure it is simplified and correct.

For example, let's say you need to solve the following problem:

1/3 + 2/5

1. Write down the fractions: 1/3 and 2/5
2. Find the common denominator: LCM of 3 and 5 is 15
3. Rewrite the fractions with the common denominator: 5/15 and 6/15
4. Add the numerators: 5/15 + 6/15 = 11/15
5. Simplify the fraction: 11/15 is already simplified
6. The final answer is 11/15