Question

7 x 3 1/4
Write solution as a mixed number

Answer 1

To multiply \(7\) by \(3 \frac{1}{4}\), we first convert the mixed number into an improper fraction.

1. Convert \(3 \frac{1}{4}\) to an improper fraction:
\[
3 \frac{1}{4} = 3 \times 4 + 1 = 12 + 1 = 13 \quad \text{(numerator)}
\]
So, \(3 \frac{1}{4} = \frac{13}{4}\).

2. Now we can multiply \(7\) by \(\frac{13}{4}\):
\[
7 \times \frac{13}{4} = \frac{7 \times 13}{4} = \frac{91}{4}.
\]

3. Now we convert \(\frac{91}{4}\) back to a mixed number:
- Divide \(91\) by \(4\):
\[
91 \div 4 = 22 \quad \text{(whole number)}
\]
with a remainder of \(3\) (since \(4 \times 22 = 88\) and \(91 - 88 = 3\)).

4. Thus, we can write \(\frac{91}{4}\) as a mixed number:
\[
\frac{91}{4} = 22 \frac{3}{4}.
\]

Therefore, the solution is:
\[
\boxed{22 \frac{3}{4}}.
\]