Question

what is 4 1/4 x 3 1/2 in mixed number form

Answer 1

To multiply the mixed numbers \(4 \frac{1}{4}\) and \(3 \frac{1}{2}\), we first convert them to improper fractions.

1. Convert \(4 \frac{1}{4}\):
\[
4 \times 4 + 1 = 16 + 1 = 17 \quad \Rightarrow \quad 4 \frac{1}{4} = \frac{17}{4}
\]

2. Convert \(3 \frac{1}{2}\):
\[
3 \times 2 + 1 = 6 + 1 = 7 \quad \Rightarrow \quad 3 \frac{1}{2} = \frac{7}{2}
\]

Now, we can multiply the two improper fractions:
\[
\frac{17}{4} \times \frac{7}{2} = \frac{17 \times 7}{4 \times 2} = \frac{119}{8}
\]

Next, we convert \(\frac{119}{8}\) back to a mixed number. We divide 119 by 8:
\[
119 \div 8 = 14 \quad \text{(with a remainder of } 7\text{)}
\]

So,
\[
\frac{119}{8} = 14 \frac{7}{8}
\]

The final answer in mixed number form is:
\[
\boxed{14 \frac{7}{8}}
\]