Question

Multiply
3x4 1/2
Write your answer as a mixed number is simplest form

Answer 1

To multiply the mixed number \(3 \frac{1}{2}\) by \(4\), we first convert the mixed number into an improper fraction.

1. Convert \(3 \frac{1}{2}\) to an improper fraction:
\[
3 \frac{1}{2} = \frac{3 \times 2 + 1}{2} = \frac{6 + 1}{2} = \frac{7}{2}
\]

2. Multiply the improper fraction by \(4\):
\[
4 = \frac{4}{1}
\]

Now, multiply:
\[
\frac{7}{2} \times \frac{4}{1} = \frac{7 \times 4}{2 \times 1} = \frac{28}{2}
\]

3. Simplify \(\frac{28}{2}\):
\[
\frac{28}{2} = 14
\]

Thus, the product of \(3 \frac{1}{2} \times 4\) is \(14\), which can be expressed as a mixed number, although in this case it is simply:
\[
\boxed{14}
\]