8. The product of 7 and [tex]\frac{63}{4}[/tex] is:
A. [tex]\frac{421}{4}[/tex]
B. [tex]\frac{471}{4}[/tex]
C. [tex]\frac{423}{4}[/tex]
D. [tex]\frac{1}{4}[/tex]

9. The picture interprets:
A. [tex]\frac{1}{4} \div 3[/tex]
B. [tex]3 \times \frac{1}{4}[/tex]
C. [tex]\frac{3}{4} \times 3[/tex]
D. [tex]3 \div \frac{1}{4}[/tex]



Answer :

To solve the problem "The product of 7 and [tex]\( \frac{63}{4} \)[/tex] is", we need to find the result of multiplying the number 7 by the fraction [tex]\( \frac{63}{4} \)[/tex].

### Step-by-step Solution

1. Understand the Problem:
We need to find the product of the integer 7 and the fraction [tex]\( \frac{63}{4} \)[/tex].

2. Calculate [tex]\( \frac{63}{4} \)[/tex]:
The fraction [tex]\( \frac{63}{4} \)[/tex] signifies that 63 is divided by 4, which is:
[tex]\[ \frac{63}{4} = 15.75 \][/tex]

3. Multiply by 7:
Now multiply this result by 7:
[tex]\[ 7 \times 15.75 = 110.25 \][/tex]

### Final Answer

Therefore, the product of 7 and [tex]\( \frac{63}{4} \)[/tex] is:
[tex]\[ 110.25 \][/tex]

By comparing with the given options (a), (b), (c) and considering that converting 110.25 to a fraction gives [tex]\( \frac{441}{4} \)[/tex], but none of the given answers (a-d) match exactly when written as decimals or fractions. This suggests a possible issue with the provided answer choices, as our calculated value [tex]\( 110.25 \)[/tex] is indeed correct.