Question

1. \\(6 \frac{7}{12} \times 6 = \\_\\_\\)

Explanation:

Convert mixed number to improper fraction

We convert the mixed number to an improper fraction using Improper Fractions.

$$ 6\frac{7}{12} = \frac{6 \times 12 + 7}{12} = \frac{72 + 7}{12} = \frac{79}{12} $$

Set up multiplication

We multiply the improper fraction by the whole number using Mixed Number Multiplication.

$$ \frac{79}{12} \times 6 = \frac{79 \times 6}{12} $$

Simplify the expression

We simplify the fraction before multiplying using Simplifying Fractions.

$$ \frac{79 \times 6}{12} = \frac{79 \times \cancel{6}^1}{\cancel{12}_2} = \frac{79}{2} $$

Convert back to mixed number

We convert the improper fraction back to a mixed number.

$$ \frac{79}{2} = 39\frac{1}{2} $$

Answer:

\(6 \frac{7}{12} \times 6 =\) <blank>\(39\frac{1}{2}\)</blank>