Question

1. \\(10 \frac{4}{11} \times 6 = \underline{\quad\quad}\\)

Explanation:

Convert mixed number to improper fraction

Using the Improper Fractions knowledge point

$$ 10\frac{4}{11} = \frac{10 \times 11 + 4}{11} = \frac{110 + 4}{11} = \frac{114}{11} $$

Multiply the fractions

Using the Mixed Number Multiplication knowledge point

$$ \frac{114}{11} \times 6 = \frac{114 \times 6}{11} = \frac{684}{11} $$

Convert back to mixed number

To find the whole number and remainder, we divide 684 by 11.

$$ 684 \div 11 = 62 \text{ R } 2 $$

$$ \frac{684}{11} = 62\frac{2}{11} $$

Answer:

\(10 \frac{4}{11} \times 6 =\) <blank>\(62\frac{2}{11}\)</blank>