Fill in the blanks
Q`69 3/4-:7 3/4`=…...........

Answer

To solve the problem \( 69 \frac{3}{4} - 7 \frac{3}{4} \), we will follow these steps:

### Step 1: Convert Mixed Numbers to Improper Fractions
First, we convert the mixed numbers \( 69 \frac{3}{4} \) and \( 7 \frac{3}{4} \) into improper fractions.

For \( 69 \frac{3}{4} \):
\[ 69 \frac{3}{4} = \frac{69 \times 4 + 3}{4} = \frac{276 + 3}{4} = \frac{279}{4} \]

For \( 7 \frac{3}{4} \):
\[ 7 \frac{3}{4} = \frac{7 \times 4 + 3}{4} = \frac{28 + 3}{4} = \frac{31}{4} \]

### Step 2: Set Up the Division
Now we need to divide the two improper fractions:
\[ \frac{279}{4} \div \frac{31}{4} \]

### Step 3: Change Division to Multiplication
To divide by a fraction, we multiply by its reciprocal:
\[ \frac{279}{4} \times \frac{4}{31} \]

### Step 4: Simplify the Expression
Now, we can simplify:
\[ \frac{279 \times 4}{4 \times 31} \]
The \( 4 \) in the numerator and denominator cancels out:
\[ \frac{279}{31} \]

### Step 5: Perform the Division
Now we divide \( 279 \) by \( 31 \):
\[ 279 \div 31 = 9 \]

### Final Answer
Thus, the answer to the question \( 69 \frac{3}{4} \div 7 \frac{3}{4} \) is:
\[ \boxed{9} \]

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