Question

1. \\(4 \frac{6}{10} \times 6 = \\) ________

Explanation:

Convert the mixed number to an improper fraction

Using the Improper Fractions knowledge point

$$ 4\frac{6}{10} = \frac{4 \times 10 + 6}{10} = \frac{46}{10} $$

Simplify the improper fraction

Using the Simplifying Fractions knowledge point

$$ \frac{46}{10} = \frac{46 \div 2}{10 \div 2} = \frac{23}{5} $$

Multiply by the whole number

Using the Mixed Number Multiplication knowledge point

$$ \frac{23}{5} \times 6 = \frac{23 \times 6}{5} = \frac{138}{5} $$

Convert back to a mixed number

Using the Improper Fractions knowledge point

$$ \frac{138}{5} = 27\frac{3}{5} $$

Answer:

1. \(4 \frac{6}{10} \times 6 =\) <blank>\(27\frac{3}{5}\)</blank>