3 1/4 x 1 4/9

Answer 1

To multiply the mixed numbers $3\frac{1}{4}$ and $1\frac{4}{9}$, we first convert them to improper fractions.

1. Convert $3\frac{1}{4}$: $$3\frac{1}{4}=\frac{3\times 4+1}{4}=\frac{12+1}{4}=\frac{13}{4}$$

2. Convert $1\frac{4}{9}$: $$1\frac{4}{9}=\frac{1\times 9+4}{9}=\frac{9+4}{9}=\frac{13}{9}$$

Now we multiply the two improper fractions:

$$\frac{13}{4}\times \frac{13}{9}=\frac{13\times 13}{4\times 9}=\frac{169}{36}$$

Next, we can convert this back to a mixed number.

To do this, we divide $169$ by $36$:

• $169÷36=4$ (since $4\times 36=144$)
• Remainder: $169-144=25$

Thus, in mixed number form:

$$\frac{169}{36}=4\frac{25}{36}$$

So, the final answer is:

$$3\frac{1}{4}\times 1\frac{4}{9}=4\frac{25}{36}$$