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Let's go through the subtractions one by one, ensuring all steps are clearly shown. The mixed fractions will first be converted to improper fractions, then subtracted.

### (a) \( 2 \frac{3}{8} - 1 \frac{5}{8} \)

1. Convert mixed numbers to improper fractions:
   - \( 2 \frac{3}{8} = \frac{19}{8} \)
   - \( 1 \frac{5}{8} = \frac{13}{8} \)

2. Perform the subtraction:
   \[
   \frac{19}{8} - \frac{13}{8} = \frac{19 - 13}{8} = \frac{6}{8} = \frac{3}{4}
   \]

Thus, the result is \( \frac{3}{4} \).

---

### (b) \( 3 \frac{3}{5} - 1 \frac{7}{10} \)

1. Convert mixed numbers to improper fractions:
   - \( 3 \frac{3}{5} = \frac{18}{5} \)
   - \( 1 \frac{7}{10} = \frac{17}{10} \)

2. Find a common denominator between 5 and 10. The least common denominator is 10:
   - \( \frac{18}{5} = \frac{36}{10} \)

3. Now subtract the fractions:
   \[
   \frac{36}{10} - \frac{17}{10} = \frac{36 - 17}{10} = \frac{19}{10}
   \]

Thus, the result is \( 1 \frac{9}{10} \).

---

### (c) \( 4 \frac{2}{3} - 1 \frac{11}{12} \)

1. Convert mixed numbers to improper fractions:
   - \( 4 \frac{2}{3} = \frac{14}{3} \)
   - \( 1 \frac{11}{12} = \frac{23}{12} \)

2. Find a common denominator between 3 and 12. The least common denominator is 12:
   - \( \frac{14}{3} = \frac{56}{12} \)

3. Now subtract the fractions:
   \[
   \frac{56}{12} - \frac{23}{12} = \frac{56 - 23}{12} = \frac{33}{12} = \frac{11}{4}
   \]

Thus, the result is \( 2 \frac{3}{4} \).

---

### (d) \( 5 \frac{2}{3} - 3 \frac{1}{4} \)

1. Convert mixed numbers to improper fractions:
   - \( 5 \frac{2}{3} = \frac{17}{3} \)
   - \( 3 \frac{1}{4} = \frac{13}{4} \)

2. Find a common denominator between 3 and 4. The least common denominator is 12:
   - \( \frac{17}{3} = \frac{68}{12} \)
   - \( \frac{13}{4} = \frac{39}{12} \)

3. Now subtract the fractions:
   \[
   \frac{68}{12} - \frac{39}{12} = \frac{68 - 39}{12} = \frac{29}{12}
   \]

Thus, the result is \( 2 \frac{5}{12} \).

---

Would you like any further details or explanations on any of these steps?

Here are five related questions you might explore:
1. How do you subtract mixed fractions with different denominators?
2. What is the process of converting mixed numbers to improper fractions?
3. How do you find the least common denominator between two fractions?
4. How do you simplify improper fractions after subtraction?
5. What are the common mistakes when subtracting mixed numbers?

**Tip:** Always ensure that you simplify the final fraction result, especially if it's improper, by converting it back into a mixed number.

Work out these subtractions: a) 2 3/8 - 1 5/8, b) 3 3/5 - 1 7/10, c) 4 2/3 - 1 11/12, d) 5 2/3 - 3 1/4. Show all steps in your working.

Learn how to subtract mixed fractions with detailed steps. This exercise covers the conversion of mixed numbers to improper fractions, finding a common denominator, and performing subtraction. Perfect for students in Grades 6-8.

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