To solve the problem of multiplying the mixed numbers [tex]\( 7 \frac{3}{11} \)[/tex] and [tex]\( 3 \frac{3}{10} \)[/tex], we can follow these steps:
1. Convert the mixed numbers to improper fractions:
- For [tex]\( 7 \frac{3}{11} \)[/tex]:
- The whole number part is 7.
- The fractional part is [tex]\( \frac{3}{11} \)[/tex].
- As an improper fraction, this is calculated as [tex]\( 7 + \frac{3}{11} = 7.2727272727272725 \)[/tex].
- For [tex]\( 3 \frac{3}{10} \)[/tex]:
- The whole number part is 3.
- The fractional part is [tex]\( \frac{3}{10} \)[/tex].
- As an improper fraction, this is calculated as [tex]\( 3 + \frac{3}{10} = 3.3 \)[/tex].
2. Multiply the improper fractions:
- Now, we multiply [tex]\( 7.2727272727272725 \)[/tex] by [tex]\( 3.3 \)[/tex].
3. Calculate the product:
- The product of [tex]\( 7.2727272727272725 \times 3.3 \)[/tex] is [tex]\( 23.999999999999996 \)[/tex].
Therefore, the detailed calculation shows that:
[tex]\[
7 \frac{3}{11} \times 3 \frac{3}{10} = 23.999999999999996
\][/tex]
