To subtract \( 5 \frac{3}{4} - 2 \frac{3}{16} \), follow these steps:

### Step 1: Convert mixed numbers to improper fractions.
- \( 5 \frac{3}{4} = \frac{23}{4} \)  
  (Since \( 5 \times 4 + 3 = 23 \))
  
- \( 2 \frac{3}{16} = \frac{35}{16} \)  
  (Since \( 2 \times 16 + 3 = 35 \))

### Step 2: Find a common denominator.
The least common denominator (LCD) of 4 and 16 is 16.

- Convert \( \frac{23}{4} \) to an equivalent fraction with denominator 16:  
  \( \frac{23}{4} = \frac{92}{16} \)
  
### Step 3: Subtract the fractions.
\[
\frac{92}{16} - \frac{35}{16} = \frac{92 - 35}{16} = \frac{57}{16}
\]

### Step 4: Convert the improper fraction back to a mixed number.
\[
\frac{57}{16} = 3 \frac{9}{16}
\]

Thus, \( 5 \frac{3}{4} - 2 \frac{3}{16} = 3 \frac{9}{16} \).

Let me know if you'd like more details or if you have any questions!

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Here are 5 related questions to deepen your understanding:

1. How do you convert improper fractions to mixed numbers?
2. What is the best way to find the least common denominator of two fractions?
3. How would you add \( 5 \frac{3}{4} + 2 \frac{3}{16} \)?
4. How do you multiply or divide mixed numbers?
5. What happens when the denominators of two fractions are prime numbers?

**Tip:** Always simplify fractions when possible to make calculations easier.

Learn how to subtract mixed numbers with the example 5 3/4 - 2 3/16. Follow a detailed solution, including converting to improper fractions, finding a common denominator, and simplifying the final result. Suitable for students in Grades 5-7.

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