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Let's go through each of the problems and solve them.

1. \( \frac{3}{8} + \frac{1}{12} \):
   - The least common denominator (LCD) of 8 and 12 is 24.
   - Convert both fractions to have a denominator of 24:
     \[
     \frac{3}{8} = \frac{9}{24}, \quad \frac{1}{12} = \frac{2}{24}
     \]
   - Now add the fractions:
     \[
     \frac{9}{24} + \frac{2}{24} = \frac{11}{24}
     \]
   - Answer: \( \frac{11}{24} \).

2. \( \frac{2}{3} + \frac{7}{12} \):
   - The LCD of 3 and 12 is 12.
   - Convert both fractions:
     \[
     \frac{2}{3} = \frac{8}{12}, \quad \frac{7}{12} = \frac{7}{12}
     \]
   - Now add the fractions:
     \[
     \frac{8}{12} + \frac{7}{12} = \frac{15}{12}
     \]
   - Simplify:
     \[
     \frac{15}{12} = \frac{5}{4} = 1\frac{1}{4}
     \]
   - Answer: \( 1 \frac{1}{4} \) or \( \frac{5}{4} \).

3. \( \frac{6}{10} + \frac{7}{15} \):
   - The LCD of 10 and 15 is 30.
   - Convert both fractions:
     \[
     \frac{6}{10} = \frac{18}{30}, \quad \frac{7}{15} = \frac{14}{30}
     \]
   - Now add the fractions:
     \[
     \frac{18}{30} + \frac{14}{30} = \frac{32}{30}
     \]
   - Simplify:
     \[
     \frac{32}{30} = \frac{16}{15}
     \]
   - Answer: \( \frac{16}{15} \) or \( 1 \frac{1}{15} \).

4. \( \frac{5}{8} + \frac{5}{12} \):
   - The LCD of 8 and 12 is 24.
   - Convert both fractions:
     \[
     \frac{5}{8} = \frac{15}{24}, \quad \frac{5}{12} = \frac{10}{24}
     \]
   - Now add the fractions:
     \[
     \frac{15}{24} + \frac{10}{24} = \frac{25}{24}
     \]
   - Simplify:
     \[
     \frac{25}{24} = 1 \frac{1}{24}
     \]
   - Answer: \( 1 \frac{1}{24} \) or \( \frac{25}{24} \).

5. \( \frac{5}{12} + \frac{3}{15} \):
   - The LCD of 12 and 15 is 60.
   - Convert both fractions:
     \[
     \frac{5}{12} = \frac{25}{60}, \quad \frac{3}{15} = \frac{12}{60}
     \]
   - Now add the fractions:
     \[
     \frac{25}{60} + \frac{12}{60} = \frac{37}{60}
     \]
   - Answer: \( \frac{37}{60} \).

Would you like further details on any of these steps? Here are 5 related questions for practice:

1. What is the least common denominator of 6 and 9?
2. Simplify the sum \( \frac{7}{20} + \frac{11}{30} \).
3. What is \( \frac{1}{2} + \frac{1}{3} \) in its simplest form?
4. Add \( \frac{4}{9} + \frac{5}{6} \) and simplify.
5. If you have \( \frac{7}{8} + \frac{2}{5} \), what is the result?

**Tip:** When adding fractions, always find the least common denominator to make the addition easier.

Solve the following fraction problems:
1. (3/8) + (1/12)
2. (2/3) + (7/12)
3. (6/10) + (7/15)
4. (5/8) + (5/12)
5. (5/12) + (3/15)

Learn how to add fractions with different denominators with a set of 5 example problems, including (3/8) + (1/12) and (2/3) + (7/12). This tutorial covers finding the least common denominator (LCD) and how to simplify your answer. Suitable for Grades 5-7.

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