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.
