$$ 2 \quad 8 \frac { 3 } { 4 } - 3 \frac { 7 } { 8 } = $$

Question

UpStudy AI · Accepted Answer

To solve the expression:

$$
28 \frac{3}{4} - 3 \frac{7}{8}
$$

Follow these steps:

1. **Convert Mixed Numbers to Improper Fractions:**
   
   $$
   28 \frac{3}{4} = \frac{28 \times 4 + 3}{4} = \frac{112 + 3}{4} = \frac{115}{4}
   $$
   
   $$
   3 \frac{7}{8} = \frac{3 \times 8 + 7}{8} = \frac{24 + 7}{8} = \frac{31}{8}
   $$

2. **Find a Common Denominator:**
   
   The least common denominator (LCD) of 4 and 8 is **8**.

$$
   \frac{115}{4} = \frac{115 \times 2}{4 \times 2} = \frac{230}{8}
   $$

3. **Subtract the Fractions:**
   
   $$
   \frac{230}{8} - \frac{31}{8} = \frac{230 - 31}{8} = \frac{199}{8}
   $$

4. **Convert Back to a Mixed Number:**
   
   $$
   \frac{199}{8} = 24 \frac{7}{8}
   $$

**Final Answer:**

$$
24 \frac{7}{8}
$$
$$ 24 \frac{7}{8} $$

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