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I see that you've uploaded an image of some supplementary exercises. I'll go ahead and extract the content and solve the problems for you.

### Extracted Exercises:

1. \( 1 \frac{1}{2} + \frac{1}{12} = \)
2. \( \frac{1}{6} + \frac{1}{9} = \)
3. \( 5 \frac{2}{3} - \frac{4}{5} = \)
4. \( \frac{7}{8} + \frac{1}{6} = \)
5. \( 5 \frac{1}{4} - \frac{2}{3} = \)

Now, let's solve each of these problems.

### Solutions:

1. **\( 1 \frac{1}{2} + \frac{1}{12} \)**

   Convert \( 1 \frac{1}{2} \) to an improper fraction:
   \[
   1 \frac{1}{2} = \frac{3}{2}
   \]

   Now, add the fractions:
   \[
   \frac{3}{2} + \frac{1}{12}
   \]

   Find a common denominator (which is 12):
   \[
   \frac{3}{2} = \frac{18}{12}
   \]

   Now add:
   \[
   \frac{18}{12} + \frac{1}{12} = \frac{19}{12}
   \]

   Convert \( \frac{19}{12} \) back to a mixed number:
   \[
   \frac{19}{12} = 1 \frac{7}{12}
   \]

   **Answer: \( 1 \frac{7}{12} \)**

2. **\( \frac{1}{6} + \frac{1}{9} \)**

   Find a common denominator (which is 18):
   \[
   \frac{1}{6} = \frac{3}{18}, \quad \frac{1}{9} = \frac{2}{18}
   \]

   Now add:
   \[
   \frac{3}{18} + \frac{2}{18} = \frac{5}{18}
   \]

   **Answer: \( \frac{5}{18} \)**

3. **\( 5 \frac{2}{3} - \frac{4}{5} \)**

   Convert \( 5 \frac{2}{3} \) to an improper fraction:
   \[
   5 \frac{2}{3} = \frac{17}{3}
   \]

   Find a common denominator (which is 15):
   \[
   \frac{17}{3} = \frac{85}{15}, \quad \frac{4}{5} = \frac{12}{15}
   \]

   Now subtract:
   \[
   \frac{85}{15} - \frac{12}{15} = \frac{73}{15}
   \]

   Convert \( \frac{73}{15} \) back to a mixed number:
   \[
   \frac{73}{15} = 4 \frac{13}{15}
   \]

   **Answer: \( 4 \frac{13}{15} \)**

4. **\( \frac{7}{8} + \frac{1}{6} \)**

   Find a common denominator (which is 24):
   \[
   \frac{7}{8} = \frac{21}{24}, \quad \frac{1}{6} = \frac{4}{24}
   \]

   Now add:
   \[
   \frac{21}{24} + \frac{4}{24} = \frac{25}{24}
   \]

   Convert \( \frac{25}{24} \) back to a mixed number:
   \[
   \frac{25}{24} = 1 \frac{1}{24}
   \]

   **Answer: \( 1 \frac{1}{24} \)**

5. **\( 5 \frac{1}{4} - \frac{2}{3} \)**

   Convert \( 5 \frac{1}{4} \) to an improper fraction:
   \

Lesson 6 Supplementary Exercises with problems like 1 1/2 + 1/12, 1/6 + 1/9, 5 2/3 - 4/5, 7/8 + 1/6, and 5 1/4 - 2/3.

Solve supplementary exercises involving addition and subtraction of fractions. Problems include mixed numbers and require finding common denominators. Suitable for students in Grades 5-7.

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