1 4/5 x 3 1/2

Answer 1

To multiply the mixed numbers $1\frac{4}{5}$ and $3\frac{1}{2}$, first convert them to improper fractions.

1. Convert $1\frac{4}{5}$: $$1\frac{4}{5}=\frac{1\times 5+4}{5}=\frac{5+4}{5}=\frac{9}{5}$$

2. Convert $3\frac{1}{2}$: $$3\frac{1}{2}=\frac{3\times 2+1}{2}=\frac{6+1}{2}=\frac{7}{2}$$

Now, multiply the two improper fractions: $$\frac{9}{5}\times \frac{7}{2}=\frac{9\times 7}{5\times 2}=\frac{63}{10}$$

Finally, convert $\frac{63}{10}$ back to a mixed number: $$\frac{63}{10}=6\frac{3}{10}$$

So, $1\frac{4}{5}\times 3\frac{1}{2}=6\frac{3}{10}$.